\documentclass[8pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
Initial Dictionary 

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  -3.0 & -9.00 x_{1} & -1.00 x_{2} & -7.00 x_{3} & +  9.00 x_{4} & +  2.00 x_{5}\\
 x_{7}   &  6.0 & -6.00 x_{1} & +  3.00 x_{2} & +  2.00 x_{3} & -3.00 x_{4} & +  7.00 x_{5}\\
 x_{8}   &  9.0 & -5.00 x_{1} & +  2.00 x_{2} & +  1.00 x_{3} & -2.00 x_{4} &   \\
 x_{9}   &  12.0 & -4.00 x_{1} & -7.00 x_{2} & +  8.00 x_{3} & +  3.00 x_{4} & +  9.00 x_{5}\\
 x_{10}   &  24.0 & -7.00 x_{1} & -9.00 x_{2} & +  1.00 x_{3} & +  1.00 x_{4} & -1.00 x_{5}\\
\hline
z    &  0.0 & +  4.00 x_{1} & -1.00 x_{2} & -5.00 x_{3} & +  1.00 x_{4} & -1.00 x_{5}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{5}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,10$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  9.00 y_{6} & +  6.00 y_{7} & +  5.00 y_{8} & +  4.00 y_{9} & +  7.00 y_{10}\\
 y_{2}   &  1.0 & +  1.00 y_{6} & -3.00 y_{7} & -2.00 y_{8} & +  7.00 y_{9} & +  9.00 y_{10}\\
 y_{3}   &  1.0 & +  7.00 y_{6} & -2.00 y_{7} & -1.00 y_{8} & -8.00 y_{9} & -1.00 y_{10}\\
 y_{4}   &  1.0 & -9.00 y_{6} & +  3.00 y_{7} & +  2.00 y_{8} & -3.00 y_{9} & -1.00 y_{10}\\
 y_{5}   &  1.0 & -2.00 y_{6} & -7.00 y_{7} &   & -9.00 y_{9} & +  1.00 y_{10}\\
\hline
z    &  -0 & +  3.00 y_{6} & -6.00 y_{7} & -9.00 y_{8} & -12.00 y_{9} & -24.00 y_{10}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 2 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  2.0 & -1.00 y_{4} & +  9.00 y_{7} & +  7.00 y_{8} & +  1.00 y_{9} & +  6.00 y_{10}\\
 y_{2}   &  1.11111111111 & -0.11 y_{4} & -2.67 y_{7} & -1.78 y_{8} & +  6.67 y_{9} & +  8.89 y_{10}\\
 y_{3}   &  1.77777777778 & -0.78 y_{4} & +  0.33 y_{7} & +  0.56 y_{8} & -10.33 y_{9} & -1.78 y_{10}\\
 y_{6}   &  0.111111111111 & -0.11 y_{4} & +  0.33 y_{7} & +  0.22 y_{8} & -0.33 y_{9} & -0.11 y_{10}\\
 y_{5}   &  0.777777777778 & +  0.22 y_{4} & -7.67 y_{7} & -0.44 y_{8} & -8.33 y_{9} & +  1.22 y_{10}\\
\hline
z    &  0.333333333333 & -0.33 y_{4} & -5.00 y_{7} & -8.33 y_{8} & -13.00 y_{9} & -24.33 y_{10}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.333333333333 & +  1.00 x_{1} & +  0.11 x_{2} & +  0.78 x_{3} & +  0.11 x_{6} & -0.22 x_{5}\\
 x_{7}   &  5.0 & -9.00 x_{1} & +  2.67 x_{2} & -0.33 x_{3} & -0.33 x_{6} & +  7.67 x_{5}\\
 x_{8}   &  8.33333333333 & -7.00 x_{1} & +  1.78 x_{2} & -0.56 x_{3} & -0.22 x_{6} & +  0.44 x_{5}\\
 x_{9}   &  13.0 & -1.00 x_{1} & -6.67 x_{2} & + 10.33 x_{3} & +  0.33 x_{6} & +  8.33 x_{5}\\
 x_{10}   &  24.3333333333 & -6.00 x_{1} & -8.89 x_{2} & +  1.78 x_{3} & +  0.11 x_{6} & -1.22 x_{5}\\
\hline
z    &  -0.333333333333 & -2.00 x_{1} & -1.11 x_{2} & -1.78 x_{3} & -0.11 x_{6} & -0.78 x_{5}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.333333333333 & +  1.00 x_{1} & +  0.11 x_{2} & +  0.78 x_{3} & +  0.11 x_{6} & -0.22 x_{5}\\
 x_{7}   &  5.0 & -9.00 x_{1} & +  2.67 x_{2} & -0.33 x_{3} & -0.33 x_{6} & +  7.67 x_{5}\\
 x_{8}   &  8.33333333333 & -7.00 x_{1} & +  1.78 x_{2} & -0.56 x_{3} & -0.22 x_{6} & +  0.44 x_{5}\\
 x_{9}   &  13.0 & -1.00 x_{1} & -6.67 x_{2} & + 10.33 x_{3} & +  0.33 x_{6} & +  8.33 x_{5}\\
 x_{10}   &  24.3333333333 & -6.00 x_{1} & -8.89 x_{2} & +  1.78 x_{3} & +  0.11 x_{6} & -1.22 x_{5}\\
\hline
z    &  0.333333333333 & +  5.00 x_{1} & -0.89 x_{2} & -4.22 x_{3} & +  0.11 x_{6} & -1.22 x_{5}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.888888888889 & -0.11 x_{7} & +  0.41 x_{2} & +  0.74 x_{3} & +  0.07 x_{6} & +  0.63 x_{5}\\
 x_{1}   &  0.555555555556 & -0.11 x_{7} & +  0.30 x_{2} & -0.04 x_{3} & -0.04 x_{6} & +  0.85 x_{5}\\
 x_{8}   &  4.44444444444 & +  0.78 x_{7} & -0.30 x_{2} & -0.30 x_{3} & +  0.04 x_{6} & -5.52 x_{5}\\
 x_{9}   &  12.4444444444 & +  0.11 x_{7} & -6.96 x_{2} & + 10.37 x_{3} & +  0.37 x_{6} & +  7.48 x_{5}\\
 x_{10}   &  21.0 & +  0.67 x_{7} & -10.67 x_{2} & +  2.00 x_{3} & +  0.33 x_{6} & -6.33 x_{5}\\
\hline
z    &  3.11111111111 & -0.56 x_{7} & +  0.59 x_{2} & -4.41 x_{3} & -0.07 x_{6} & +  3.04 x_{5}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.6170212766 & -0.10 x_{7} & -0.06 x_{9} & +  1.35 x_{3} & +  0.10 x_{6} & +  1.07 x_{5}\\
 x_{1}   &  1.08510638298 & -0.11 x_{7} & -0.04 x_{9} & +  0.40 x_{3} & -0.02 x_{6} & +  1.17 x_{5}\\
 x_{8}   &  3.91489361702 & +  0.77 x_{7} & +  0.04 x_{9} & -0.74 x_{3} & +  0.02 x_{6} & -5.84 x_{5}\\
 x_{2}   &  1.78723404255 & +  0.02 x_{7} & -0.14 x_{9} & +  1.49 x_{3} & +  0.05 x_{6} & +  1.07 x_{5}\\
 x_{10}   &  1.93617021277 & +  0.50 x_{7} & +  1.53 x_{9} & -13.89 x_{3} & -0.23 x_{6} & -17.79 x_{5}\\
\hline
z    &  4.17021276596 & -0.55 x_{7} & -0.09 x_{9} & -3.52 x_{3} & -0.04 x_{6} & +  3.67 x_{5}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.73316062176 & -0.07 x_{7} & +  0.03 x_{9} & +  0.51 x_{3} & +  0.08 x_{6} & -0.06 x_{10}\\
 x_{1}   &  1.21243523316 & -0.07 x_{7} & +  0.06 x_{9} & -0.51 x_{3} & -0.04 x_{6} & -0.07 x_{10}\\
 x_{8}   &  3.27979274611 & +  0.61 x_{7} & -0.46 x_{9} & +  3.82 x_{3} & +  0.10 x_{6} & +  0.33 x_{10}\\
 x_{2}   &  1.90414507772 & +  0.05 x_{7} & -0.05 x_{9} & +  0.65 x_{3} & +  0.04 x_{6} & -0.06 x_{10}\\
 x_{5}   &  0.108808290155 & +  0.03 x_{7} & +  0.09 x_{9} & -0.78 x_{3} & -0.01 x_{6} & -0.06 x_{10}\\
\hline
z    &  4.56994818653 & -0.44 x_{7} & +  0.23 x_{9} & -6.39 x_{3} & -0.09 x_{6} & -0.21 x_{10}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.97118717504 & -0.03 x_{7} & -0.07 x_{8} & +  0.79 x_{3} & +  0.09 x_{6} & -0.04 x_{10}\\
 x_{1}   &  1.6273830156 & +  0.00 x_{7} & -0.13 x_{8} & -0.03 x_{3} & -0.02 x_{6} & -0.02 x_{10}\\
 x_{9}   &  7.1308492201 & +  1.33 x_{7} & -2.17 x_{8} & +  8.30 x_{3} & +  0.21 x_{6} & +  0.71 x_{10}\\
 x_{2}   &  1.53964471404 & -0.02 x_{7} & +  0.11 x_{8} & +  0.23 x_{3} & +  0.03 x_{6} & -0.10 x_{10}\\
 x_{5}   &  0.722703639515 & +  0.14 x_{7} & -0.19 x_{8} & -0.07 x_{3} & +  0.01 x_{6} & +  0.01 x_{10}\\
\hline
z    &  6.21837088388 & -0.14 x_{7} & -0.50 x_{8} & -4.47 x_{3} & -0.04 x_{6} & -0.04 x_{10}\\
\end{array}\]
Final Dictionary
Final dictionary after first LP relaxation solve: 

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.97118717504 & -0.03 x_{7} & -0.07 x_{8} & +  0.79 x_{3} & +  0.09 x_{6} & -0.04 x_{10}\\
 x_{1}   &  1.6273830156 & +  0.00 x_{7} & -0.13 x_{8} & -0.03 x_{3} & -0.02 x_{6} & -0.02 x_{10}\\
 x_{9}   &  7.1308492201 & +  1.33 x_{7} & -2.17 x_{8} & +  8.30 x_{3} & +  0.21 x_{6} & +  0.71 x_{10}\\
 x_{2}   &  1.53964471404 & -0.02 x_{7} & +  0.11 x_{8} & +  0.23 x_{3} & +  0.03 x_{6} & -0.10 x_{10}\\
 x_{5}   &  0.722703639515 & +  0.14 x_{7} & -0.19 x_{8} & -0.07 x_{3} & +  0.01 x_{6} & +  0.01 x_{10}\\
\hline
z    &  6.21837088388 & -0.14 x_{7} & -0.50 x_{8} & -4.47 x_{3} & -0.04 x_{6} & -0.04 x_{10}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.97118717504 & -0.03 x_{7} & -0.07 x_{8} & +  0.79 x_{3} & +  0.09 x_{6} & -0.04 x_{10}\\
 x_{1}   &  1.6273830156 & +  0.00 x_{7} & -0.13 x_{8} & -0.03 x_{3} & -0.02 x_{6} & -0.02 x_{10}\\
 x_{9}   &  7.1308492201 & +  1.33 x_{7} & -2.17 x_{8} & +  8.30 x_{3} & +  0.21 x_{6} & +  0.71 x_{10}\\
 x_{2}   &  1.53964471404 & -0.02 x_{7} & +  0.11 x_{8} & +  0.23 x_{3} & +  0.03 x_{6} & -0.10 x_{10}\\
 x_{5}   &  0.722703639515 & +  0.14 x_{7} & -0.19 x_{8} & -0.07 x_{3} & +  0.01 x_{6} & +  0.01 x_{10}\\
 x_{11}   &  -0.971187175043 & +  0.03 x_{7} & +  0.07 x_{8} & +  0.21 x_{3} & +  0.91 x_{6} & +  0.04 x_{10}\\
 x_{12}   &  -0.627383015598 & +  1.00 x_{7} & +  0.13 x_{8} & +  0.03 x_{3} & +  0.02 x_{6} & +  0.02 x_{10}\\
 x_{13}   &  -0.130849220104 & +  0.67 x_{7} & +  0.17 x_{8} & +  0.70 x_{3} & +  0.79 x_{6} & +  0.29 x_{10}\\
 x_{14}   &  -0.539644714038 & +  0.02 x_{7} & +  0.89 x_{8} & +  0.77 x_{3} & +  0.97 x_{6} & +  0.10 x_{10}\\
 x_{15}   &  -0.722703639515 & +  0.86 x_{7} & +  0.19 x_{8} & +  0.07 x_{3} & +  0.99 x_{6} & +  0.99 x_{10}\\
\hline
z    &  6.21837088388 & -0.14 x_{7} & -0.50 x_{8} & -4.47 x_{3} & -0.04 x_{6} & -0.04 x_{10}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.04560649475 & -0.03 x_{12} & -0.08 x_{8} & +  0.77 x_{3} & +  0.10 x_{11} & -0.04 x_{10}\\
 x_{1}   &  1.6041069723 & +  0.00 x_{12} & -0.13 x_{8} & -0.02 x_{3} & -0.03 x_{11} & -0.02 x_{10}\\
 x_{9}   &  8.15520534862 & +  1.33 x_{12} & -2.36 x_{8} & +  8.22 x_{3} & +  0.20 x_{11} & +  0.67 x_{10}\\
 x_{2}   &  1.5558739255 & -0.02 x_{12} & +  0.11 x_{8} & +  0.22 x_{3} & +  0.03 x_{11} & -0.10 x_{10}\\
 x_{5}   &  0.813992359121 & +  0.14 x_{12} & -0.21 x_{8} & -0.07 x_{3} & +  0.00 x_{11} & +  0.00 x_{10}\\
 x_{6}   &  1.04560649475 & -0.03 x_{12} & -0.08 x_{8} & -0.23 x_{3} & +  1.10 x_{11} & -0.04 x_{10}\\
 x_{7}   &  0.604106972302 & +  1.00 x_{12} & -0.13 x_{8} & -0.02 x_{3} & -0.03 x_{11} & -0.02 x_{10}\\
 x_{13}   &  1.09861509074 & +  0.65 x_{12} & +  0.03 x_{8} & +  0.51 x_{3} & +  0.85 x_{11} & +  0.24 x_{10}\\
 x_{14}   &  0.489732569245 & -0.01 x_{12} & +  0.81 x_{8} & +  0.55 x_{3} & +  1.07 x_{11} & +  0.06 x_{10}\\
 x_{15}   &  0.835721107927 & +  0.83 x_{12} & +  0.00 x_{8} & -0.18 x_{3} & +  1.07 x_{11} & +  0.94 x_{10}\\
\hline
z    &  6.09216809933 & -0.14 x_{12} & -0.48 x_{8} & -4.46 x_{3} & -0.04 x_{11} & -0.04 x_{10}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.04560649475 & -0.03 x_{12} & -0.08 x_{8} & +  0.77 x_{3} & +  0.10 x_{11} & -0.04 x_{10}\\
 x_{1}   &  1.6041069723 & +  0.00 x_{12} & -0.13 x_{8} & -0.02 x_{3} & -0.03 x_{11} & -0.02 x_{10}\\
 x_{9}   &  8.15520534862 & +  1.33 x_{12} & -2.36 x_{8} & +  8.22 x_{3} & +  0.20 x_{11} & +  0.67 x_{10}\\
 x_{2}   &  1.5558739255 & -0.02 x_{12} & +  0.11 x_{8} & +  0.22 x_{3} & +  0.03 x_{11} & -0.10 x_{10}\\
 x_{5}   &  0.813992359121 & +  0.14 x_{12} & -0.21 x_{8} & -0.07 x_{3} & +  0.00 x_{11} & +  0.00 x_{10}\\
 x_{6}   &  1.04560649475 & -0.03 x_{12} & -0.08 x_{8} & -0.23 x_{3} & +  1.10 x_{11} & -0.04 x_{10}\\
 x_{7}   &  0.604106972302 & +  1.00 x_{12} & -0.13 x_{8} & -0.02 x_{3} & -0.03 x_{11} & -0.02 x_{10}\\
 x_{13}   &  1.09861509074 & +  0.65 x_{12} & +  0.03 x_{8} & +  0.51 x_{3} & +  0.85 x_{11} & +  0.24 x_{10}\\
 x_{14}   &  0.489732569245 & -0.01 x_{12} & +  0.81 x_{8} & +  0.55 x_{3} & +  1.07 x_{11} & +  0.06 x_{10}\\
 x_{15}   &  0.835721107927 & +  0.83 x_{12} & +  0.00 x_{8} & -0.18 x_{3} & +  1.07 x_{11} & +  0.94 x_{10}\\
 x_{16}   &  -0.0456064947469 & +  0.03 x_{12} & +  0.08 x_{8} & +  0.23 x_{3} & +  0.90 x_{11} & +  0.04 x_{10}\\
 x_{17}   &  -0.604106972302 & +  1.00 x_{12} & +  0.13 x_{8} & +  0.02 x_{3} & +  0.03 x_{11} & +  0.02 x_{10}\\
 x_{18}   &  -0.155205348615 & +  0.67 x_{12} & +  0.36 x_{8} & +  0.78 x_{3} & +  0.80 x_{11} & +  0.33 x_{10}\\
 x_{19}   &  -0.555873925501 & +  0.02 x_{12} & +  0.89 x_{8} & +  0.78 x_{3} & +  0.97 x_{11} & +  0.10 x_{10}\\
 x_{20}   &  -0.813992359121 & +  0.86 x_{12} & +  0.21 x_{8} & +  0.07 x_{3} & +  1.00 x_{11} & +  1.00 x_{10}\\
 x_{21}   &  -0.0456064947469 & +  0.03 x_{12} & +  0.08 x_{8} & +  0.23 x_{3} & +  0.90 x_{11} & +  0.04 x_{10}\\
 x_{22}   &  -0.604106972302 & +  1.00 x_{12} & +  0.13 x_{8} & +  0.02 x_{3} & +  0.03 x_{11} & +  0.02 x_{10}\\
 x_{23}   &  -0.0986150907354 & +  0.35 x_{12} & +  0.97 x_{8} & +  0.49 x_{3} & +  0.15 x_{11} & +  0.76 x_{10}\\
 x_{24}   &  -0.489732569245 & +  0.01 x_{12} & +  0.19 x_{8} & +  0.45 x_{3} & +  0.93 x_{11} & +  0.94 x_{10}\\
 x_{25}   &  -0.835721107927 & +  0.17 x_{12} & +  1.00 x_{8} & +  0.18 x_{3} & +  0.93 x_{11} & +  0.06 x_{10}\\
\hline
z    &  6.09216809933 & -0.14 x_{12} & -0.48 x_{8} & -4.46 x_{3} & -0.04 x_{11} & -0.04 x_{10}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.10362694301 & -0.05 x_{17} & -0.18 x_{8} & +  0.75 x_{3} & +  0.11 x_{25} & -0.04 x_{10}\\
 x_{1}   &  1.58549222798 & +  0.01 x_{17} & -0.10 x_{8} & -0.02 x_{3} & -0.03 x_{25} & -0.02 x_{10}\\
 x_{9}   &  9.08808290155 & +  1.30 x_{17} & -2.69 x_{8} & +  8.17 x_{3} & +  0.18 x_{25} & +  0.63 x_{10}\\
 x_{2}   &  1.56735751295 & -0.03 x_{17} & +  0.08 x_{8} & +  0.22 x_{3} & +  0.03 x_{25} & -0.10 x_{10}\\
 x_{5}   &  0.89896373057 & +  0.14 x_{17} & -0.22 x_{8} & -0.07 x_{3} & -0.00 x_{25} & -0.00 x_{10}\\
 x_{6}   &  1.89378238342 & -0.24 x_{17} & -1.23 x_{8} & -0.44 x_{3} & +  1.19 x_{25} & -0.11 x_{10}\\
 x_{7}   &  1.17098445596 & +  1.02 x_{17} & -0.19 x_{8} & -0.03 x_{3} & -0.06 x_{25} & -0.04 x_{10}\\
 x_{13}   &  2.14766839378 & +  0.50 x_{17} & -0.92 x_{8} & +  0.34 x_{3} & +  0.90 x_{25} & +  0.17 x_{10}\\
 x_{14}   &  1.32642487047 & -0.21 x_{17} & -0.31 x_{8} & +  0.35 x_{3} & +  1.15 x_{25} & -0.01 x_{10}\\
 x_{15}   &  2.16580310881 & +  0.64 x_{17} & -1.20 x_{8} & -0.39 x_{3} & +  1.13 x_{25} & +  0.85 x_{10}\\
 x_{11}   &  0.790155440415 & -0.19 x_{17} & -1.05 x_{8} & -0.19 x_{3} & +  1.08 x_{25} & -0.06 x_{10}\\
 x_{12}   &  0.585492227979 & +  1.01 x_{17} & -0.10 x_{8} & -0.02 x_{3} & -0.03 x_{25} & -0.02 x_{10}\\
 x_{18}   &  0.873056994819 & +  0.53 x_{17} & -0.55 x_{8} & +  0.61 x_{3} & +  0.85 x_{25} & +  0.26 x_{10}\\
 x_{16}   &  0.686528497409 & -0.13 x_{17} & -0.88 x_{8} & +  0.06 x_{3} & +  0.97 x_{25} & -0.02 x_{10}\\
 x_{20}   &  0.476683937824 & +  0.68 x_{17} & -0.93 x_{8} & -0.13 x_{3} & +  1.05 x_{25} & +  0.92 x_{10}\\
 x_{21}   &  0.686528497409 & -0.13 x_{17} & -0.88 x_{8} & +  0.06 x_{3} & +  0.97 x_{25} & -0.02 x_{10}\\
 x_{22}   &  1.01494805651e-16 & +  1.00 x_{17} & -0.00 x_{8} & -0.00 x_{3} & -0.00 x_{25} & -0.00 x_{10}\\
 x_{23}   &  0.227979274611 & +  0.32 x_{17} & +  0.77 x_{8} & +  0.46 x_{3} & +  0.16 x_{25} & +  0.74 x_{10}\\
 x_{24}   &  0.253886010363 & -0.16 x_{17} & -0.80 x_{8} & +  0.27 x_{3} & +  1.01 x_{25} & +  0.88 x_{10}\\
 x_{19}   &  0.222797927461 & -0.16 x_{17} & -0.13 x_{8} & +  0.60 x_{3} & +  1.05 x_{25} & +  0.03 x_{10}\\
\hline
z    &  5.9792746114 & -0.13 x_{17} & -0.42 x_{8} & -4.45 x_{3} & -0.04 x_{25} & -0.03 x_{10}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.10362694301 & -0.05 x_{17} & -0.18 x_{8} & +  0.75 x_{3} & +  0.11 x_{25} & -0.04 x_{10}\\
 x_{1}   &  1.58549222798 & +  0.01 x_{17} & -0.10 x_{8} & -0.02 x_{3} & -0.03 x_{25} & -0.02 x_{10}\\
 x_{9}   &  9.08808290155 & +  1.30 x_{17} & -2.69 x_{8} & +  8.17 x_{3} & +  0.18 x_{25} & +  0.63 x_{10}\\
 x_{2}   &  1.56735751295 & -0.03 x_{17} & +  0.08 x_{8} & +  0.22 x_{3} & +  0.03 x_{25} & -0.10 x_{10}\\
 x_{5}   &  0.89896373057 & +  0.14 x_{17} & -0.22 x_{8} & -0.07 x_{3} & -0.00 x_{25} & -0.00 x_{10}\\
 x_{6}   &  1.89378238342 & -0.24 x_{17} & -1.23 x_{8} & -0.44 x_{3} & +  1.19 x_{25} & -0.11 x_{10}\\
 x_{7}   &  1.17098445596 & +  1.02 x_{17} & -0.19 x_{8} & -0.03 x_{3} & -0.06 x_{25} & -0.04 x_{10}\\
 x_{13}   &  2.14766839378 & +  0.50 x_{17} & -0.92 x_{8} & +  0.34 x_{3} & +  0.90 x_{25} & +  0.17 x_{10}\\
 x_{14}   &  1.32642487047 & -0.21 x_{17} & -0.31 x_{8} & +  0.35 x_{3} & +  1.15 x_{25} & -0.01 x_{10}\\
 x_{15}   &  2.16580310881 & +  0.64 x_{17} & -1.20 x_{8} & -0.39 x_{3} & +  1.13 x_{25} & +  0.85 x_{10}\\
 x_{11}   &  0.790155440415 & -0.19 x_{17} & -1.05 x_{8} & -0.19 x_{3} & +  1.08 x_{25} & -0.06 x_{10}\\
 x_{12}   &  0.585492227979 & +  1.01 x_{17} & -0.10 x_{8} & -0.02 x_{3} & -0.03 x_{25} & -0.02 x_{10}\\
 x_{18}   &  0.873056994819 & +  0.53 x_{17} & -0.55 x_{8} & +  0.61 x_{3} & +  0.85 x_{25} & +  0.26 x_{10}\\
 x_{16}   &  0.686528497409 & -0.13 x_{17} & -0.88 x_{8} & +  0.06 x_{3} & +  0.97 x_{25} & -0.02 x_{10}\\
 x_{20}   &  0.476683937824 & +  0.68 x_{17} & -0.93 x_{8} & -0.13 x_{3} & +  1.05 x_{25} & +  0.92 x_{10}\\
 x_{21}   &  0.686528497409 & -0.13 x_{17} & -0.88 x_{8} & +  0.06 x_{3} & +  0.97 x_{25} & -0.02 x_{10}\\
 x_{22}   &  1.01494805651e-16 & +  1.00 x_{17} & -0.00 x_{8} & -0.00 x_{3} & -0.00 x_{25} & -0.00 x_{10}\\
 x_{23}   &  0.227979274611 & +  0.32 x_{17} & +  0.77 x_{8} & +  0.46 x_{3} & +  0.16 x_{25} & +  0.74 x_{10}\\
 x_{24}   &  0.253886010363 & -0.16 x_{17} & -0.80 x_{8} & +  0.27 x_{3} & +  1.01 x_{25} & +  0.88 x_{10}\\
 x_{19}   &  0.222797927461 & -0.16 x_{17} & -0.13 x_{8} & +  0.60 x_{3} & +  1.05 x_{25} & +  0.03 x_{10}\\
 x_{26}   &  -0.103626943005 & +  0.05 x_{17} & +  0.18 x_{8} & +  0.25 x_{3} & +  0.89 x_{25} & +  0.04 x_{10}\\
 x_{27}   &  -0.585492227979 & +  0.99 x_{17} & +  0.10 x_{8} & +  0.02 x_{3} & +  0.03 x_{25} & +  0.02 x_{10}\\
 x_{28}   &  -0.0880829015544 & +  0.70 x_{17} & +  0.69 x_{8} & +  0.83 x_{3} & +  0.82 x_{25} & +  0.37 x_{10}\\
 x_{29}   &  -0.567357512953 & +  0.03 x_{17} & +  0.92 x_{8} & +  0.78 x_{3} & +  0.97 x_{25} & +  0.10 x_{10}\\
 x_{30}   &  -0.89896373057 & +  0.86 x_{17} & +  0.22 x_{8} & +  0.07 x_{3} & +  0.00 x_{25} & +  0.00 x_{10}\\
 x_{31}   &  -0.89378238342 & +  0.24 x_{17} & +  0.23 x_{8} & +  0.44 x_{3} & +  0.81 x_{25} & +  0.11 x_{10}\\
 x_{32}   &  -0.170984455959 & +  0.98 x_{17} & +  0.19 x_{8} & +  0.03 x_{3} & +  0.06 x_{25} & +  0.04 x_{10}\\
 x_{33}   &  -0.147668393782 & +  0.50 x_{17} & +  0.92 x_{8} & +  0.66 x_{3} & +  0.10 x_{25} & +  0.83 x_{10}\\
 x_{34}   &  -0.326424870466 & +  0.21 x_{17} & +  0.31 x_{8} & +  0.65 x_{3} & +  0.85 x_{25} & +  0.01 x_{10}\\
 x_{35}   &  -0.165803108808 & +  0.36 x_{17} & +  0.20 x_{8} & +  0.39 x_{3} & +  0.87 x_{25} & +  0.15 x_{10}\\
 x_{36}   &  -0.790155440415 & +  0.19 x_{17} & +  0.05 x_{8} & +  0.19 x_{3} & +  0.92 x_{25} & +  0.06 x_{10}\\
 x_{37}   &  -0.585492227979 & +  0.99 x_{17} & +  0.10 x_{8} & +  0.02 x_{3} & +  0.03 x_{25} & +  0.02 x_{10}\\
 x_{38}   &  -0.873056994819 & +  0.47 x_{17} & +  0.55 x_{8} & +  0.39 x_{3} & +  0.15 x_{25} & +  0.74 x_{10}\\
 x_{39}   &  -0.686528497409 & +  0.13 x_{17} & +  0.88 x_{8} & +  0.94 x_{3} & +  0.03 x_{25} & +  0.02 x_{10}\\
 x_{40}   &  -0.476683937824 & +  0.32 x_{17} & +  0.93 x_{8} & +  0.13 x_{3} & +  0.95 x_{25} & +  0.08 x_{10}\\
 x_{41}   &  -0.686528497409 & +  0.13 x_{17} & +  0.88 x_{8} & +  0.94 x_{3} & +  0.03 x_{25} & +  0.02 x_{10}\\
 x_{42}   &  -0.227979274611 & +  0.68 x_{17} & +  0.23 x_{8} & +  0.54 x_{3} & +  0.84 x_{25} & +  0.26 x_{10}\\
 x_{43}   &  -0.253886010363 & +  0.16 x_{17} & +  0.80 x_{8} & +  0.73 x_{3} & +  0.99 x_{25} & +  0.12 x_{10}\\
 x_{44}   &  -0.222797927461 & +  0.16 x_{17} & +  0.13 x_{8} & +  0.40 x_{3} & +  0.95 x_{25} & +  0.97 x_{10}\\
\hline
z    &  5.9792746114 & -0.13 x_{17} & -0.42 x_{8} & -4.45 x_{3} & -0.04 x_{25} & -0.03 x_{10}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.01754385965 & -0.03 x_{30} & -0.18 x_{39} & +  0.89 x_{3} & +  0.15 x_{31} & -0.08 x_{38}\\
 x_{1}   &  1.51315789474 & +  0.05 x_{30} & -0.10 x_{39} & +  0.10 x_{3} & -0.03 x_{31} & -0.02 x_{38}\\
 x_{9}   &  8.67543859649 & +  1.60 x_{30} & -4.12 x_{39} & + 11.49 x_{3} & +  0.17 x_{31} & +  0.94 x_{38}\\
 x_{2}   &  1.61403508772 & +  0.00 x_{30} & +  0.17 x_{39} & +  0.09 x_{3} & +  0.07 x_{31} & -0.15 x_{38}\\
 x_{5}   &  0.885964912281 & +  0.21 x_{30} & -0.31 x_{39} & +  0.20 x_{3} & +  0.01 x_{31} & +  0.01 x_{38}\\
 x_{6}   &  1.69736842105 & -0.30 x_{30} & -1.52 x_{39} & +  0.47 x_{3} & +  1.58 x_{31} & -0.34 x_{38}\\
 x_{7}   &  1.91228070175 & +  1.31 x_{30} & -0.51 x_{39} & +  0.40 x_{3} & -0.05 x_{31} & -0.04 x_{38}\\
 x_{13}   &  2.60526315789 & +  0.45 x_{30} & -1.53 x_{39} & +  1.21 x_{3} & +  1.13 x_{31} & +  0.11 x_{38}\\
 x_{14}   &  1.71052631579 & -0.46 x_{30} & -0.48 x_{39} & +  0.28 x_{3} & +  1.48 x_{31} & -0.22 x_{38}\\
 x_{15}   &  2.73684210526 & +  0.20 x_{30} & -2.40 x_{39} & +  0.90 x_{3} & +  1.28 x_{31} & +  1.02 x_{38}\\
 x_{11}   &  0.679824561404 & -0.26 x_{30} & -1.34 x_{39} & +  0.57 x_{3} & +  1.42 x_{31} & -0.26 x_{38}\\
 x_{12}   &  1.39912280702 & +  1.26 x_{30} & -0.41 x_{39} & +  0.30 x_{3} & -0.02 x_{31} & -0.02 x_{38}\\
 x_{18}   &  1.56140350877 & +  0.39 x_{30} & -1.14 x_{39} & +  1.12 x_{3} & +  1.04 x_{31} & +  0.23 x_{38}\\
 x_{16}   &  0.662280701754 & -0.23 x_{30} & -1.16 x_{39} & +  0.68 x_{3} & +  1.27 x_{31} & -0.18 x_{38}\\
 x_{20}   &  1.20614035088 & +  0.19 x_{30} & -2.11 x_{39} & +  0.91 x_{3} & +  1.15 x_{31} & +  1.12 x_{38}\\
 x_{21}   &  0.662280701754 & -0.23 x_{30} & -1.16 x_{39} & +  0.68 x_{3} & +  1.27 x_{31} & -0.18 x_{38}\\
 x_{22}   &  0.885964912281 & +  1.21 x_{30} & -0.31 x_{39} & +  0.20 x_{3} & +  0.01 x_{31} & +  0.01 x_{38}\\
 x_{23}   &  1.11403508772 & -0.21 x_{30} & +  0.31 x_{39} & -0.20 x_{3} & -0.01 x_{31} & +  0.99 x_{38}\\
 x_{24}   &  0.289473684211 & -0.82 x_{30} & -1.66 x_{39} & +  1.01 x_{3} & +  1.09 x_{31} & +  1.08 x_{38}\\
 x_{19}   &  0.69298245614 & -0.43 x_{30} & -0.30 x_{39} & +  0.39 x_{3} & +  1.32 x_{31} & -0.14 x_{38}\\
 x_{25}   &  0.662280701754 & -0.23 x_{30} & -0.16 x_{39} & -0.32 x_{3} & +  1.27 x_{31} & -0.18 x_{38}\\
 x_{17}   &  0.885964912281 & +  1.21 x_{30} & -0.31 x_{39} & +  0.20 x_{3} & +  0.01 x_{31} & +  0.01 x_{38}\\
 x_{28}   &  1.51754385965 & +  0.32 x_{30} & +  0.25 x_{39} & +  0.04 x_{3} & +  0.94 x_{31} & +  0.35 x_{38}\\
 x_{26}   &  0.644736842105 & -0.20 x_{30} & +  0.03 x_{39} & -0.21 x_{3} & +  1.12 x_{31} & -0.11 x_{38}\\
 x_{27}   &  0.372807017544 & +  1.16 x_{30} & -0.21 x_{39} & +  0.10 x_{3} & +  0.03 x_{31} & +  0.03 x_{38}\\
 x_{29}   &  0.675438596491 & -0.40 x_{30} & +  0.88 x_{39} & -0.51 x_{3} & +  1.17 x_{31} & -0.06 x_{38}\\
 x_{32}   &  0.859649122807 & +  1.12 x_{30} & -0.11 x_{39} & +  0.01 x_{3} & +  0.06 x_{31} & +  0.05 x_{38}\\
 x_{33}   &  0.956140350877 & -0.06 x_{30} & +  0.39 x_{39} & -0.09 x_{3} & -0.10 x_{31} & +  1.12 x_{38}\\
 x_{34}   &  0.614035087719 & +  0.00 x_{30} & +  0.17 x_{39} & +  0.09 x_{3} & +  1.07 x_{31} & -0.15 x_{38}\\
 x_{35}   &  0.859649122807 & +  0.12 x_{30} & -0.11 x_{39} & +  0.01 x_{3} & +  1.06 x_{31} & +  0.05 x_{38}\\
 x_{36}   &  0.0175438596491 & -0.03 x_{30} & -0.18 x_{39} & -0.11 x_{3} & +  1.15 x_{31} & -0.08 x_{38}\\
 x_{37}   &  0.372807017544 & +  1.16 x_{30} & -0.21 x_{39} & +  0.10 x_{3} & +  0.03 x_{31} & +  0.03 x_{38}\\
 x_{10}   &  0.0131578947368 & -0.60 x_{30} & -0.67 x_{39} & +  0.24 x_{3} & -0.24 x_{31} & +  1.41 x_{38}\\
 x_{8}   &  0.627192982456 & -0.16 x_{30} & +  1.21 x_{39} & -1.10 x_{3} & -0.03 x_{31} & -0.03 x_{38}\\
 x_{40}   &  1.01754385965 & -0.03 x_{30} & +  0.82 x_{39} & -1.11 x_{3} & +  1.15 x_{31} & -0.08 x_{38}\\
 x_{41}   &  -0 & -0.00 x_{30} & +  1.00 x_{39} & +  0.00 x_{3} & +  0.00 x_{31} & -0.00 x_{38}\\
 x_{42}   &  1.07456140351 & +  0.43 x_{30} & -0.24 x_{39} & +  0.22 x_{3} & +  1.01 x_{31} & +  0.21 x_{38}\\
 x_{43}   &  1.04824561404 & -0.23 x_{30} & +  0.68 x_{39} & -0.40 x_{3} & +  1.21 x_{31} & -0.04 x_{38}\\
 x_{44}   &  0.644736842105 & -0.63 x_{30} & -0.69 x_{39} & +  0.22 x_{3} & +  0.98 x_{31} & +  1.18 x_{38}\\
\hline
z    &  5.5701754386 & -0.06 x_{30} & -0.45 x_{39} & -4.00 x_{3} & -0.03 x_{31} & -0.03 x_{38}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.01754385965 & -0.03 x_{30} & -0.18 x_{39} & +  0.89 x_{3} & +  0.15 x_{31} & -0.08 x_{38}\\
 x_{1}   &  1.51315789474 & +  0.05 x_{30} & -0.10 x_{39} & +  0.10 x_{3} & -0.03 x_{31} & -0.02 x_{38}\\
 x_{9}   &  8.67543859649 & +  1.60 x_{30} & -4.12 x_{39} & + 11.49 x_{3} & +  0.17 x_{31} & +  0.94 x_{38}\\
 x_{2}   &  1.61403508772 & +  0.00 x_{30} & +  0.17 x_{39} & +  0.09 x_{3} & +  0.07 x_{31} & -0.15 x_{38}\\
 x_{5}   &  0.885964912281 & +  0.21 x_{30} & -0.31 x_{39} & +  0.20 x_{3} & +  0.01 x_{31} & +  0.01 x_{38}\\
 x_{6}   &  1.69736842105 & -0.30 x_{30} & -1.52 x_{39} & +  0.47 x_{3} & +  1.58 x_{31} & -0.34 x_{38}\\
 x_{7}   &  1.91228070175 & +  1.31 x_{30} & -0.51 x_{39} & +  0.40 x_{3} & -0.05 x_{31} & -0.04 x_{38}\\
 x_{13}   &  2.60526315789 & +  0.45 x_{30} & -1.53 x_{39} & +  1.21 x_{3} & +  1.13 x_{31} & +  0.11 x_{38}\\
 x_{14}   &  1.71052631579 & -0.46 x_{30} & -0.48 x_{39} & +  0.28 x_{3} & +  1.48 x_{31} & -0.22 x_{38}\\
 x_{15}   &  2.73684210526 & +  0.20 x_{30} & -2.40 x_{39} & +  0.90 x_{3} & +  1.28 x_{31} & +  1.02 x_{38}\\
 x_{11}   &  0.679824561404 & -0.26 x_{30} & -1.34 x_{39} & +  0.57 x_{3} & +  1.42 x_{31} & -0.26 x_{38}\\
 x_{12}   &  1.39912280702 & +  1.26 x_{30} & -0.41 x_{39} & +  0.30 x_{3} & -0.02 x_{31} & -0.02 x_{38}\\
 x_{18}   &  1.56140350877 & +  0.39 x_{30} & -1.14 x_{39} & +  1.12 x_{3} & +  1.04 x_{31} & +  0.23 x_{38}\\
 x_{16}   &  0.662280701754 & -0.23 x_{30} & -1.16 x_{39} & +  0.68 x_{3} & +  1.27 x_{31} & -0.18 x_{38}\\
 x_{20}   &  1.20614035088 & +  0.19 x_{30} & -2.11 x_{39} & +  0.91 x_{3} & +  1.15 x_{31} & +  1.12 x_{38}\\
 x_{21}   &  0.662280701754 & -0.23 x_{30} & -1.16 x_{39} & +  0.68 x_{3} & +  1.27 x_{31} & -0.18 x_{38}\\
 x_{22}   &  0.885964912281 & +  1.21 x_{30} & -0.31 x_{39} & +  0.20 x_{3} & +  0.01 x_{31} & +  0.01 x_{38}\\
 x_{23}   &  1.11403508772 & -0.21 x_{30} & +  0.31 x_{39} & -0.20 x_{3} & -0.01 x_{31} & +  0.99 x_{38}\\
 x_{24}   &  0.289473684211 & -0.82 x_{30} & -1.66 x_{39} & +  1.01 x_{3} & +  1.09 x_{31} & +  1.08 x_{38}\\
 x_{19}   &  0.69298245614 & -0.43 x_{30} & -0.30 x_{39} & +  0.39 x_{3} & +  1.32 x_{31} & -0.14 x_{38}\\
 x_{25}   &  0.662280701754 & -0.23 x_{30} & -0.16 x_{39} & -0.32 x_{3} & +  1.27 x_{31} & -0.18 x_{38}\\
 x_{17}   &  0.885964912281 & +  1.21 x_{30} & -0.31 x_{39} & +  0.20 x_{3} & +  0.01 x_{31} & +  0.01 x_{38}\\
 x_{28}   &  1.51754385965 & +  0.32 x_{30} & +  0.25 x_{39} & +  0.04 x_{3} & +  0.94 x_{31} & +  0.35 x_{38}\\
 x_{26}   &  0.644736842105 & -0.20 x_{30} & +  0.03 x_{39} & -0.21 x_{3} & +  1.12 x_{31} & -0.11 x_{38}\\
 x_{27}   &  0.372807017544 & +  1.16 x_{30} & -0.21 x_{39} & +  0.10 x_{3} & +  0.03 x_{31} & +  0.03 x_{38}\\
 x_{29}   &  0.675438596491 & -0.40 x_{30} & +  0.88 x_{39} & -0.51 x_{3} & +  1.17 x_{31} & -0.06 x_{38}\\
 x_{32}   &  0.859649122807 & +  1.12 x_{30} & -0.11 x_{39} & +  0.01 x_{3} & +  0.06 x_{31} & +  0.05 x_{38}\\
 x_{33}   &  0.956140350877 & -0.06 x_{30} & +  0.39 x_{39} & -0.09 x_{3} & -0.10 x_{31} & +  1.12 x_{38}\\
 x_{34}   &  0.614035087719 & +  0.00 x_{30} & +  0.17 x_{39} & +  0.09 x_{3} & +  1.07 x_{31} & -0.15 x_{38}\\
 x_{35}   &  0.859649122807 & +  0.12 x_{30} & -0.11 x_{39} & +  0.01 x_{3} & +  1.06 x_{31} & +  0.05 x_{38}\\
 x_{36}   &  0.0175438596491 & -0.03 x_{30} & -0.18 x_{39} & -0.11 x_{3} & +  1.15 x_{31} & -0.08 x_{38}\\
 x_{37}   &  0.372807017544 & +  1.16 x_{30} & -0.21 x_{39} & +  0.10 x_{3} & +  0.03 x_{31} & +  0.03 x_{38}\\
 x_{10}   &  0.0131578947368 & -0.60 x_{30} & -0.67 x_{39} & +  0.24 x_{3} & -0.24 x_{31} & +  1.41 x_{38}\\
 x_{8}   &  0.627192982456 & -0.16 x_{30} & +  1.21 x_{39} & -1.10 x_{3} & -0.03 x_{31} & -0.03 x_{38}\\
 x_{40}   &  1.01754385965 & -0.03 x_{30} & +  0.82 x_{39} & -1.11 x_{3} & +  1.15 x_{31} & -0.08 x_{38}\\
 x_{41}   &  -0 & -0.00 x_{30} & +  1.00 x_{39} & +  0.00 x_{3} & +  0.00 x_{31} & -0.00 x_{38}\\
 x_{42}   &  1.07456140351 & +  0.43 x_{30} & -0.24 x_{39} & +  0.22 x_{3} & +  1.01 x_{31} & +  0.21 x_{38}\\
 x_{43}   &  1.04824561404 & -0.23 x_{30} & +  0.68 x_{39} & -0.40 x_{3} & +  1.21 x_{31} & -0.04 x_{38}\\
 x_{44}   &  0.644736842105 & -0.63 x_{30} & -0.69 x_{39} & +  0.22 x_{3} & +  0.98 x_{31} & +  1.18 x_{38}\\
 x_{45}   &  -0.0175438596491 & +  0.03 x_{30} & +  0.18 x_{39} & +  0.11 x_{3} & +  0.85 x_{31} & +  0.08 x_{38}\\
 x_{46}   &  -0.513157894737 & +  0.95 x_{30} & +  0.10 x_{39} & +  0.90 x_{3} & +  0.03 x_{31} & +  0.02 x_{38}\\
 x_{47}   &  -0.675438596491 & +  0.40 x_{30} & +  0.12 x_{39} & +  0.51 x_{3} & +  0.83 x_{31} & +  0.06 x_{38}\\
 x_{48}   &  -0.614035087719 & +  1.00 x_{30} & +  0.83 x_{39} & +  0.91 x_{3} & +  0.93 x_{31} & +  0.15 x_{38}\\
 x_{49}   &  -0.885964912281 & +  0.79 x_{30} & +  0.31 x_{39} & +  0.80 x_{3} & +  0.99 x_{31} & +  0.99 x_{38}\\
 x_{50}   &  -0.697368421053 & +  0.30 x_{30} & +  0.52 x_{39} & +  0.53 x_{3} & +  0.42 x_{31} & +  0.34 x_{38}\\
 x_{51}   &  -0.912280701754 & +  0.69 x_{30} & +  0.51 x_{39} & +  0.60 x_{3} & +  0.05 x_{31} & +  0.04 x_{38}\\
 x_{52}   &  -0.605263157895 & +  0.55 x_{30} & +  0.53 x_{39} & +  0.79 x_{3} & +  0.87 x_{31} & +  0.89 x_{38}\\
 x_{53}   &  -0.710526315789 & +  0.46 x_{30} & +  0.48 x_{39} & +  0.72 x_{3} & +  0.52 x_{31} & +  0.22 x_{38}\\
 x_{54}   &  -0.736842105263 & +  0.80 x_{30} & +  0.40 x_{39} & +  0.10 x_{3} & +  0.72 x_{31} & +  0.98 x_{38}\\
 x_{55}   &  -0.679824561404 & +  0.26 x_{30} & +  0.34 x_{39} & +  0.43 x_{3} & +  0.58 x_{31} & +  0.26 x_{38}\\
 x_{56}   &  -0.399122807018 & +  0.74 x_{30} & +  0.41 x_{39} & +  0.70 x_{3} & +  0.02 x_{31} & +  0.02 x_{38}\\
 x_{57}   &  -0.561403508772 & +  0.61 x_{30} & +  0.14 x_{39} & +  0.88 x_{3} & +  0.96 x_{31} & +  0.77 x_{38}\\
 x_{58}   &  -0.662280701754 & +  0.23 x_{30} & +  0.16 x_{39} & +  0.32 x_{3} & +  0.73 x_{31} & +  0.18 x_{38}\\
 x_{59}   &  -0.206140350877 & +  0.81 x_{30} & +  0.11 x_{39} & +  0.09 x_{3} & +  0.85 x_{31} & +  0.88 x_{38}\\
 x_{60}   &  -0.662280701754 & +  0.23 x_{30} & +  0.16 x_{39} & +  0.32 x_{3} & +  0.73 x_{31} & +  0.18 x_{38}\\
 x_{61}   &  -0.885964912281 & +  0.79 x_{30} & +  0.31 x_{39} & +  0.80 x_{3} & +  0.99 x_{31} & +  0.99 x_{38}\\
 x_{62}   &  -0.114035087719 & +  0.21 x_{30} & +  0.69 x_{39} & +  0.20 x_{3} & +  0.01 x_{31} & +  0.01 x_{38}\\
 x_{63}   &  -0.289473684211 & +  0.82 x_{30} & +  0.66 x_{39} & +  0.99 x_{3} & +  0.91 x_{31} & +  0.92 x_{38}\\
 x_{64}   &  -0.69298245614 & +  0.43 x_{30} & +  0.30 x_{39} & +  0.61 x_{3} & +  0.68 x_{31} & +  0.14 x_{38}\\
 x_{65}   &  -0.662280701754 & +  0.23 x_{30} & +  0.16 x_{39} & +  0.32 x_{3} & +  0.73 x_{31} & +  0.18 x_{38}\\
 x_{66}   &  -0.885964912281 & +  0.79 x_{30} & +  0.31 x_{39} & +  0.80 x_{3} & +  0.99 x_{31} & +  0.99 x_{38}\\
 x_{67}   &  -0.517543859649 & +  0.68 x_{30} & +  0.75 x_{39} & +  0.96 x_{3} & +  0.06 x_{31} & +  0.65 x_{38}\\
 x_{68}   &  -0.644736842105 & +  0.20 x_{30} & +  0.97 x_{39} & +  0.21 x_{3} & +  0.88 x_{31} & +  0.11 x_{38}\\
 x_{69}   &  -0.372807017544 & +  0.84 x_{30} & +  0.21 x_{39} & +  0.90 x_{3} & +  0.97 x_{31} & +  0.97 x_{38}\\
 x_{70}   &  -0.675438596491 & +  0.40 x_{30} & +  0.12 x_{39} & +  0.51 x_{3} & +  0.83 x_{31} & +  0.06 x_{38}\\
 x_{71}   &  -0.859649122807 & +  0.88 x_{30} & +  0.11 x_{39} & +  0.99 x_{3} & +  0.94 x_{31} & +  0.95 x_{38}\\
 x_{72}   &  -0.956140350877 & +  0.06 x_{30} & +  0.61 x_{39} & +  0.09 x_{3} & +  0.10 x_{31} & +  0.88 x_{38}\\
 x_{73}   &  -0.614035087719 & +  1.00 x_{30} & +  0.83 x_{39} & +  0.91 x_{3} & +  0.93 x_{31} & +  0.15 x_{38}\\
 x_{74}   &  -0.859649122807 & +  0.88 x_{30} & +  0.11 x_{39} & +  0.99 x_{3} & +  0.94 x_{31} & +  0.95 x_{38}\\
 x_{75}   &  -0.0175438596491 & +  0.03 x_{30} & +  0.18 x_{39} & +  0.11 x_{3} & +  0.85 x_{31} & +  0.08 x_{38}\\
 x_{76}   &  -0.372807017544 & +  0.84 x_{30} & +  0.21 x_{39} & +  0.90 x_{3} & +  0.97 x_{31} & +  0.97 x_{38}\\
 x_{77}   &  -0.0131578947368 & +  0.60 x_{30} & +  0.67 x_{39} & +  0.76 x_{3} & +  0.24 x_{31} & +  0.59 x_{38}\\
 x_{78}   &  -0.627192982456 & +  0.16 x_{30} & +  0.79 x_{39} & +  0.10 x_{3} & +  0.03 x_{31} & +  0.03 x_{38}\\
 x_{79}   &  -0.0175438596491 & +  0.03 x_{30} & +  0.18 x_{39} & +  0.11 x_{3} & +  0.85 x_{31} & +  0.08 x_{38}\\
 x_{80}   &  -0.0745614035088 & +  0.57 x_{30} & +  0.24 x_{39} & +  0.78 x_{3} & +  0.99 x_{31} & +  0.79 x_{38}\\
 x_{81}   &  -0.0482456140351 & +  0.23 x_{30} & +  0.32 x_{39} & +  0.40 x_{3} & +  0.79 x_{31} & +  0.04 x_{38}\\
 x_{82}   &  -0.644736842105 & +  0.63 x_{30} & +  0.69 x_{39} & +  0.78 x_{3} & +  0.02 x_{31} & +  0.82 x_{38}\\
\hline
z    &  5.5701754386 & -0.06 x_{30} & -0.45 x_{39} & -4.00 x_{3} & -0.03 x_{31} & -0.03 x_{38}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.89873417722 & -0.04 x_{78} & -0.19 x_{39} & +  0.89 x_{3} & +  0.16 x_{19} & -0.05 x_{24}\\
 x_{1}   &  1.61603375527 & +  0.15 x_{78} & -0.26 x_{39} & +  0.11 x_{3} & -0.00 x_{19} & -0.03 x_{24}\\
 x_{9}   &  15.7046413502 & + 10.81 x_{78} & -11.97 x_{39} & + 10.08 x_{3} & -0.58 x_{19} & +  0.52 x_{24}\\
 x_{2}   &  1.4388185654 & -0.17 x_{78} & +  0.16 x_{39} & +  0.16 x_{3} & +  0.15 x_{19} & -0.11 x_{24}\\
 x_{5}   &  1.61603375527 & +  1.15 x_{78} & -1.26 x_{39} & +  0.11 x_{3} & -0.00 x_{19} & -0.03 x_{24}\\
 x_{68}   &  0.84388185654 & +  2.98 x_{78} & -1.08 x_{39} & -0.38 x_{3} & +  0.51 x_{19} & +  0.09 x_{24}\\
 x_{7}   &  6.23628691983 & +  6.76 x_{78} & -6.22 x_{39} & -0.07 x_{3} & -0.04 x_{19} & -0.22 x_{24}\\
 x_{13}   &  5.12658227848 & +  4.80 x_{78} & -5.01 x_{39} & +  0.39 x_{3} & +  0.68 x_{19} & +  0.06 x_{24}\\
 x_{14}   &  0.898734177215 & -0.04 x_{78} & -0.19 x_{39} & -0.11 x_{3} & +  1.16 x_{19} & -0.05 x_{24}\\
 x_{15}   &  5.97890295359 & +  5.70 x_{78} & -5.50 x_{39} & -0.57 x_{3} & +  0.14 x_{19} & +  0.82 x_{24}\\
 x_{6}   &  1.33755274262 & +  0.79 x_{78} & -2.03 x_{39} & +  0.05 x_{3} & +  1.31 x_{19} & -0.16 x_{24}\\
 x_{12}   &  5.62025316456 & +  6.61 x_{78} & -5.96 x_{39} & -0.18 x_{3} & -0.03 x_{19} & -0.19 x_{24}\\
 x_{18}   &  3.99578059072 & +  4.54 x_{78} & -4.30 x_{39} & +  0.29 x_{3} & +  0.53 x_{19} & +  0.16 x_{24}\\
 x_{16}   &  0.540084388186 & +  0.87 x_{78} & -1.65 x_{39} & +  0.27 x_{3} & +  0.99 x_{19} & -0.06 x_{24}\\
 x_{20}   &  4.4641350211 & +  5.59 x_{78} & -5.05 x_{39} & -0.56 x_{3} & -0.02 x_{19} & +  0.90 x_{24}\\
 x_{21}   &  0.540084388186 & +  0.87 x_{78} & -1.65 x_{39} & +  0.27 x_{3} & +  0.99 x_{19} & -0.06 x_{24}\\
 x_{22}   &  5.00421940928 & +  6.46 x_{78} & -5.70 x_{39} & -0.29 x_{3} & -0.03 x_{19} & -0.16 x_{24}\\
 x_{23}   &  1.95358649789 & +  0.94 x_{78} & +  0.70 x_{39} & -0.84 x_{3} & -0.70 x_{19} & +  0.81 x_{24}\\
 x_{10}   &  0.0210970464135 & -0.70 x_{78} & +  1.50 x_{39} & -0.43 x_{3} & -1.14 x_{19} & +  1.18 x_{24}\\
 x_{11}   &  0.438818565401 & +  0.83 x_{78} & -1.84 x_{39} & +  0.16 x_{3} & +  1.15 x_{19} & -0.11 x_{24}\\
 x_{25}   &  0.540084388186 & +  0.87 x_{78} & -0.65 x_{39} & -0.73 x_{3} & +  0.99 x_{19} & -0.06 x_{24}\\
 x_{17}   &  5.00421940928 & +  6.46 x_{78} & -5.70 x_{39} & -0.29 x_{3} & -0.03 x_{19} & -0.16 x_{24}\\
 x_{28}   &  3.86497890295 & +  4.28 x_{78} & -2.59 x_{39} & -0.82 x_{3} & +  0.38 x_{19} & +  0.27 x_{24}\\
 x_{26}   &  0.64135021097 & +  0.91 x_{78} & -0.46 x_{39} & -0.61 x_{3} & +  0.83 x_{19} & -0.01 x_{24}\\
 x_{27}   &  4.38818565401 & +  6.31 x_{78} & -5.44 x_{39} & -0.40 x_{3} & -0.02 x_{19} & -0.14 x_{24}\\
 x_{29}   &  0.101265822785 & +  0.04 x_{78} & +  1.19 x_{39} & -0.89 x_{3} & +  0.84 x_{19} & +  0.05 x_{24}\\
 x_{32}   &  4.77215189873 & +  6.16 x_{78} & -5.18 x_{39} & -0.51 x_{3} & -0.02 x_{19} & -0.11 x_{24}\\
 x_{33}   &  2.4388185654 & +  1.83 x_{78} & +  0.16 x_{39} & -0.84 x_{3} & -0.85 x_{19} & +  0.89 x_{24}\\
 x_{34}   &  1.18143459916 & +  1.78 x_{78} & -1.12 x_{39} & -0.34 x_{3} & +  0.82 x_{19} & -0.08 x_{24}\\
 x_{35}   &  2.12658227848 & +  2.80 x_{78} & -2.01 x_{39} & -0.61 x_{3} & +  0.68 x_{19} & +  0.06 x_{24}\\
 x_{31}   &  0.742616033755 & +  1.95 x_{78} & -1.27 x_{39} & -0.50 x_{3} & +  0.67 x_{19} & +  0.04 x_{24}\\
 x_{37}   &  4.38818565401 & +  6.31 x_{78} & -5.44 x_{39} & -0.40 x_{3} & -0.02 x_{19} & -0.14 x_{24}\\
 x_{38}   &  1.56962025316 & +  2.09 x_{78} & -0.56 x_{39} & -0.73 x_{3} & -0.70 x_{19} & +  0.78 x_{24}\\
 x_{8}   &  -0 & -1.00 x_{78} & +  2.00 x_{39} & -1.00 x_{3} &    &   \\
 x_{40}   &  1.64135021097 & +  1.91 x_{78} & -0.46 x_{39} & -1.61 x_{3} & +  0.83 x_{19} & -0.01 x_{24}\\
 x_{41}   &  5.70336089654e-17 & +  0.00 x_{78} & +  1.00 x_{39} & +  0.00 x_{3} & +  0.00 x_{19} & -0.00 x_{24}\\
 x_{42}   &  3.61181434599 & +  4.69 x_{78} & -3.56 x_{39} & -0.60 x_{3} & +  0.52 x_{19} & +  0.14 x_{24}\\
 x_{43}   &  1.10126582278 & +  1.04 x_{78} & +  0.19 x_{39} & -0.89 x_{3} & +  0.84 x_{19} & +  0.05 x_{24}\\
 x_{44}   &  1.10126582278 & +  1.04 x_{78} & +  0.19 x_{39} & -0.89 x_{3} & -0.16 x_{19} & +  1.05 x_{24}\\
 x_{45}   &  0.84388185654 & +  1.98 x_{78} & -1.08 x_{39} & -0.38 x_{3} & +  0.51 x_{19} & +  0.09 x_{24}\\
 x_{30}   &  3.38818565401 & +  5.31 x_{78} & -4.44 x_{39} & -0.40 x_{3} & -0.02 x_{19} & -0.14 x_{24}\\
 x_{36}   &  0.64135021097 & +  1.91 x_{78} & -1.46 x_{39} & -0.61 x_{3} & +  0.83 x_{19} & -0.01 x_{24}\\
 x_{48}   &  3.69198312236 & +  7.43 x_{78} & -4.87 x_{39} & -0.05 x_{3} & +  0.50 x_{19} & +  0.01 x_{24}\\
 x_{49}   &  4.08438818565 & +  8.20 x_{78} & -5.01 x_{39} & -0.74 x_{3} & -0.05 x_{19} & +  0.71 x_{24}\\
 x_{50}   &  1.14767932489 & +  3.10 x_{78} & -1.51 x_{39} & -0.04 x_{3} & +  0.04 x_{19} & +  0.24 x_{24}\\
 x_{46}   &  2.77215189873 & +  5.16 x_{78} & -4.18 x_{39} & +  0.49 x_{3} & -0.02 x_{19} & -0.11 x_{24}\\
 x_{52}   &  3.3164556962 & +  6.49 x_{78} & -3.53 x_{39} & -0.52 x_{3} & -0.06 x_{19} & +  0.66 x_{24}\\
 x_{53}   &  1.5864978903 & +  3.93 x_{78} & -2.36 x_{39} & +  0.12 x_{3} & +  0.19 x_{19} & +  0.13 x_{24}\\
 x_{54}   &  4.03375527426 & +  7.68 x_{78} & -4.60 x_{39} & -1.30 x_{3} & -0.22 x_{19} & +  0.68 x_{24}\\
 x_{47}   &  1.38396624473 & +  3.85 x_{78} & -2.74 x_{39} & -0.11 x_{3} & +  0.50 x_{19} & +  0.03 x_{24}\\
 x_{56}   &  2.15611814346 & +  4.02 x_{78} & -2.92 x_{39} & +  0.38 x_{3} & -0.01 x_{19} & -0.09 x_{24}\\
 x_{57}   &  3.44725738397 & +  6.75 x_{78} & -4.24 x_{39} & -0.41 x_{3} & +  0.09 x_{19} & +  0.56 x_{24}\\
 x_{55}   &  1.04641350211 & +  3.06 x_{78} & -1.70 x_{39} & -0.16 x_{3} & +  0.20 x_{19} & +  0.19 x_{24}\\
 x_{59}   &  4.54852320675 & +  7.79 x_{78} & -5.05 x_{39} & -1.30 x_{3} & -0.07 x_{19} & +  0.61 x_{24}\\
 x_{60}   &  0.945147679325 & +  3.02 x_{78} & -1.89 x_{39} & -0.27 x_{3} & +  0.36 x_{19} & +  0.14 x_{24}\\
 x_{61}   &  4.08438818565 & +  8.20 x_{78} & -5.01 x_{39} & -0.74 x_{3} & -0.05 x_{19} & +  0.71 x_{24}\\
 x_{62}   &  0.616033755274 & +  1.15 x_{78} & -0.26 x_{39} & +  0.11 x_{3} & -0.00 x_{19} & -0.03 x_{24}\\
 x_{63}   &  4.62447257384 & +  8.07 x_{78} & -4.66 x_{39} & -0.46 x_{3} & -0.06 x_{19} & +  0.65 x_{24}\\
 x_{64}   &  1.48523206751 & +  3.89 x_{78} & -2.55 x_{39} & +  0.00 x_{3} & +  0.35 x_{19} & +  0.08 x_{24}\\
 x_{65}   &  0.945147679325 & +  3.02 x_{78} & -1.89 x_{39} & -0.27 x_{3} & +  0.36 x_{19} & +  0.14 x_{24}\\
 x_{66}   &  4.08438818565 & +  8.20 x_{78} & -5.01 x_{39} & -0.74 x_{3} & -0.05 x_{19} & +  0.71 x_{24}\\
 x_{67}   &  2.83544303797 & +  5.06 x_{78} & -2.68 x_{39} & +  0.19 x_{3} & -0.43 x_{19} & +  0.42 x_{24}\\
 x_{58}   &  0.945147679325 & +  3.02 x_{78} & -1.89 x_{39} & -0.27 x_{3} & +  0.36 x_{19} & +  0.14 x_{24}\\
 x_{69}   &  4.70042194093 & +  8.35 x_{78} & -5.27 x_{39} & -0.63 x_{3} & -0.05 x_{19} & +  0.68 x_{24}\\
 x_{70}   &  1.38396624473 & +  3.85 x_{78} & -2.74 x_{39} & -0.11 x_{3} & +  0.50 x_{19} & +  0.03 x_{24}\\
 x_{71}   &  4.3164556962 & +  8.49 x_{78} & -5.53 x_{39} & -0.52 x_{3} & -0.06 x_{19} & +  0.66 x_{24}\\
 x_{72}   &  0.700421940928 & +  2.35 x_{78} & -0.27 x_{39} & -0.63 x_{3} & -0.55 x_{19} & +  0.68 x_{24}\\
 x_{73}   &  3.69198312236 & +  7.43 x_{78} & -4.87 x_{39} & -0.05 x_{3} & +  0.50 x_{19} & +  0.01 x_{24}\\
 x_{74}   &  4.3164556962 & +  8.49 x_{78} & -5.53 x_{39} & -0.52 x_{3} & -0.06 x_{19} & +  0.66 x_{24}\\
 x_{75}   &  0.84388185654 & +  1.98 x_{78} & -1.08 x_{39} & -0.38 x_{3} & +  0.51 x_{19} & +  0.09 x_{24}\\
 x_{76}   &  4.70042194093 & +  8.35 x_{78} & -5.27 x_{39} & -0.63 x_{3} & -0.05 x_{19} & +  0.68 x_{24}\\
 x_{77}   &  3.11814345992 & +  4.88 x_{78} & -2.61 x_{39} & -0.03 x_{3} & -0.27 x_{19} & +  0.39 x_{24}\\
 x_{51}   &  1.54008438819 & +  3.87 x_{78} & -2.65 x_{39} & +  0.27 x_{3} & -0.01 x_{19} & -0.06 x_{24}\\
 x_{79}   &  0.84388185654 & +  1.98 x_{78} & -1.08 x_{39} & -0.38 x_{3} & +  0.51 x_{19} & +  0.09 x_{24}\\
 x_{80}   &  3.83122362869 & +  6.60 x_{78} & -3.98 x_{39} & -0.52 x_{3} & +  0.10 x_{19} & +  0.58 x_{24}\\
 x_{81}   &  1.38396624473 & +  2.85 x_{78} & -1.74 x_{39} & -0.11 x_{3} & +  0.50 x_{19} & +  0.03 x_{24}\\
 x_{82}   &  2.7805907173 & +  5.08 x_{78} & -2.58 x_{39} & -0.08 x_{3} & -0.57 x_{19} & +  0.56 x_{24}\\
\hline
z    &  5.30801687764 & -0.43 x_{78} & -0.13 x_{39} & -3.95 x_{3} & -0.00 x_{19} & -0.01 x_{24}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.89873417722 & -0.04 x_{78} & -0.19 x_{39} & +  0.89 x_{3} & +  0.16 x_{19} & -0.05 x_{24}\\
 x_{1}   &  1.61603375527 & +  0.15 x_{78} & -0.26 x_{39} & +  0.11 x_{3} & -0.00 x_{19} & -0.03 x_{24}\\
 x_{9}   &  15.7046413502 & + 10.81 x_{78} & -11.97 x_{39} & + 10.08 x_{3} & -0.58 x_{19} & +  0.52 x_{24}\\
 x_{2}   &  1.4388185654 & -0.17 x_{78} & +  0.16 x_{39} & +  0.16 x_{3} & +  0.15 x_{19} & -0.11 x_{24}\\
 x_{5}   &  1.61603375527 & +  1.15 x_{78} & -1.26 x_{39} & +  0.11 x_{3} & -0.00 x_{19} & -0.03 x_{24}\\
 x_{68}   &  0.84388185654 & +  2.98 x_{78} & -1.08 x_{39} & -0.38 x_{3} & +  0.51 x_{19} & +  0.09 x_{24}\\
 x_{7}   &  6.23628691983 & +  6.76 x_{78} & -6.22 x_{39} & -0.07 x_{3} & -0.04 x_{19} & -0.22 x_{24}\\
 x_{13}   &  5.12658227848 & +  4.80 x_{78} & -5.01 x_{39} & +  0.39 x_{3} & +  0.68 x_{19} & +  0.06 x_{24}\\
 x_{14}   &  0.898734177215 & -0.04 x_{78} & -0.19 x_{39} & -0.11 x_{3} & +  1.16 x_{19} & -0.05 x_{24}\\
 x_{15}   &  5.97890295359 & +  5.70 x_{78} & -5.50 x_{39} & -0.57 x_{3} & +  0.14 x_{19} & +  0.82 x_{24}\\
 x_{6}   &  1.33755274262 & +  0.79 x_{78} & -2.03 x_{39} & +  0.05 x_{3} & +  1.31 x_{19} & -0.16 x_{24}\\
 x_{12}   &  5.62025316456 & +  6.61 x_{78} & -5.96 x_{39} & -0.18 x_{3} & -0.03 x_{19} & -0.19 x_{24}\\
 x_{18}   &  3.99578059072 & +  4.54 x_{78} & -4.30 x_{39} & +  0.29 x_{3} & +  0.53 x_{19} & +  0.16 x_{24}\\
 x_{16}   &  0.540084388186 & +  0.87 x_{78} & -1.65 x_{39} & +  0.27 x_{3} & +  0.99 x_{19} & -0.06 x_{24}\\
 x_{20}   &  4.4641350211 & +  5.59 x_{78} & -5.05 x_{39} & -0.56 x_{3} & -0.02 x_{19} & +  0.90 x_{24}\\
 x_{21}   &  0.540084388186 & +  0.87 x_{78} & -1.65 x_{39} & +  0.27 x_{3} & +  0.99 x_{19} & -0.06 x_{24}\\
 x_{22}   &  5.00421940928 & +  6.46 x_{78} & -5.70 x_{39} & -0.29 x_{3} & -0.03 x_{19} & -0.16 x_{24}\\
 x_{23}   &  1.95358649789 & +  0.94 x_{78} & +  0.70 x_{39} & -0.84 x_{3} & -0.70 x_{19} & +  0.81 x_{24}\\
 x_{10}   &  0.0210970464135 & -0.70 x_{78} & +  1.50 x_{39} & -0.43 x_{3} & -1.14 x_{19} & +  1.18 x_{24}\\
 x_{11}   &  0.438818565401 & +  0.83 x_{78} & -1.84 x_{39} & +  0.16 x_{3} & +  1.15 x_{19} & -0.11 x_{24}\\
 x_{25}   &  0.540084388186 & +  0.87 x_{78} & -0.65 x_{39} & -0.73 x_{3} & +  0.99 x_{19} & -0.06 x_{24}\\
 x_{17}   &  5.00421940928 & +  6.46 x_{78} & -5.70 x_{39} & -0.29 x_{3} & -0.03 x_{19} & -0.16 x_{24}\\
 x_{28}   &  3.86497890295 & +  4.28 x_{78} & -2.59 x_{39} & -0.82 x_{3} & +  0.38 x_{19} & +  0.27 x_{24}\\
 x_{26}   &  0.64135021097 & +  0.91 x_{78} & -0.46 x_{39} & -0.61 x_{3} & +  0.83 x_{19} & -0.01 x_{24}\\
 x_{27}   &  4.38818565401 & +  6.31 x_{78} & -5.44 x_{39} & -0.40 x_{3} & -0.02 x_{19} & -0.14 x_{24}\\
 x_{29}   &  0.101265822785 & +  0.04 x_{78} & +  1.19 x_{39} & -0.89 x_{3} & +  0.84 x_{19} & +  0.05 x_{24}\\
 x_{32}   &  4.77215189873 & +  6.16 x_{78} & -5.18 x_{39} & -0.51 x_{3} & -0.02 x_{19} & -0.11 x_{24}\\
 x_{33}   &  2.4388185654 & +  1.83 x_{78} & +  0.16 x_{39} & -0.84 x_{3} & -0.85 x_{19} & +  0.89 x_{24}\\
 x_{34}   &  1.18143459916 & +  1.78 x_{78} & -1.12 x_{39} & -0.34 x_{3} & +  0.82 x_{19} & -0.08 x_{24}\\
 x_{35}   &  2.12658227848 & +  2.80 x_{78} & -2.01 x_{39} & -0.61 x_{3} & +  0.68 x_{19} & +  0.06 x_{24}\\
 x_{31}   &  0.742616033755 & +  1.95 x_{78} & -1.27 x_{39} & -0.50 x_{3} & +  0.67 x_{19} & +  0.04 x_{24}\\
 x_{37}   &  4.38818565401 & +  6.31 x_{78} & -5.44 x_{39} & -0.40 x_{3} & -0.02 x_{19} & -0.14 x_{24}\\
 x_{38}   &  1.56962025316 & +  2.09 x_{78} & -0.56 x_{39} & -0.73 x_{3} & -0.70 x_{19} & +  0.78 x_{24}\\
 x_{8}   &  -0 & -1.00 x_{78} & +  2.00 x_{39} & -1.00 x_{3} &    &   \\
 x_{40}   &  1.64135021097 & +  1.91 x_{78} & -0.46 x_{39} & -1.61 x_{3} & +  0.83 x_{19} & -0.01 x_{24}\\
 x_{41}   &  5.70336089654e-17 & +  0.00 x_{78} & +  1.00 x_{39} & +  0.00 x_{3} & +  0.00 x_{19} & -0.00 x_{24}\\
 x_{42}   &  3.61181434599 & +  4.69 x_{78} & -3.56 x_{39} & -0.60 x_{3} & +  0.52 x_{19} & +  0.14 x_{24}\\
 x_{43}   &  1.10126582278 & +  1.04 x_{78} & +  0.19 x_{39} & -0.89 x_{3} & +  0.84 x_{19} & +  0.05 x_{24}\\
 x_{44}   &  1.10126582278 & +  1.04 x_{78} & +  0.19 x_{39} & -0.89 x_{3} & -0.16 x_{19} & +  1.05 x_{24}\\
 x_{45}   &  0.84388185654 & +  1.98 x_{78} & -1.08 x_{39} & -0.38 x_{3} & +  0.51 x_{19} & +  0.09 x_{24}\\
 x_{30}   &  3.38818565401 & +  5.31 x_{78} & -4.44 x_{39} & -0.40 x_{3} & -0.02 x_{19} & -0.14 x_{24}\\
 x_{36}   &  0.64135021097 & +  1.91 x_{78} & -1.46 x_{39} & -0.61 x_{3} & +  0.83 x_{19} & -0.01 x_{24}\\
 x_{48}   &  3.69198312236 & +  7.43 x_{78} & -4.87 x_{39} & -0.05 x_{3} & +  0.50 x_{19} & +  0.01 x_{24}\\
 x_{49}   &  4.08438818565 & +  8.20 x_{78} & -5.01 x_{39} & -0.74 x_{3} & -0.05 x_{19} & +  0.71 x_{24}\\
 x_{50}   &  1.14767932489 & +  3.10 x_{78} & -1.51 x_{39} & -0.04 x_{3} & +  0.04 x_{19} & +  0.24 x_{24}\\
 x_{46}   &  2.77215189873 & +  5.16 x_{78} & -4.18 x_{39} & +  0.49 x_{3} & -0.02 x_{19} & -0.11 x_{24}\\
 x_{52}   &  3.3164556962 & +  6.49 x_{78} & -3.53 x_{39} & -0.52 x_{3} & -0.06 x_{19} & +  0.66 x_{24}\\
 x_{53}   &  1.5864978903 & +  3.93 x_{78} & -2.36 x_{39} & +  0.12 x_{3} & +  0.19 x_{19} & +  0.13 x_{24}\\
 x_{54}   &  4.03375527426 & +  7.68 x_{78} & -4.60 x_{39} & -1.30 x_{3} & -0.22 x_{19} & +  0.68 x_{24}\\
 x_{47}   &  1.38396624473 & +  3.85 x_{78} & -2.74 x_{39} & -0.11 x_{3} & +  0.50 x_{19} & +  0.03 x_{24}\\
 x_{56}   &  2.15611814346 & +  4.02 x_{78} & -2.92 x_{39} & +  0.38 x_{3} & -0.01 x_{19} & -0.09 x_{24}\\
 x_{57}   &  3.44725738397 & +  6.75 x_{78} & -4.24 x_{39} & -0.41 x_{3} & +  0.09 x_{19} & +  0.56 x_{24}\\
 x_{55}   &  1.04641350211 & +  3.06 x_{78} & -1.70 x_{39} & -0.16 x_{3} & +  0.20 x_{19} & +  0.19 x_{24}\\
 x_{59}   &  4.54852320675 & +  7.79 x_{78} & -5.05 x_{39} & -1.30 x_{3} & -0.07 x_{19} & +  0.61 x_{24}\\
 x_{60}   &  0.945147679325 & +  3.02 x_{78} & -1.89 x_{39} & -0.27 x_{3} & +  0.36 x_{19} & +  0.14 x_{24}\\
 x_{61}   &  4.08438818565 & +  8.20 x_{78} & -5.01 x_{39} & -0.74 x_{3} & -0.05 x_{19} & +  0.71 x_{24}\\
 x_{62}   &  0.616033755274 & +  1.15 x_{78} & -0.26 x_{39} & +  0.11 x_{3} & -0.00 x_{19} & -0.03 x_{24}\\
 x_{63}   &  4.62447257384 & +  8.07 x_{78} & -4.66 x_{39} & -0.46 x_{3} & -0.06 x_{19} & +  0.65 x_{24}\\
 x_{64}   &  1.48523206751 & +  3.89 x_{78} & -2.55 x_{39} & +  0.00 x_{3} & +  0.35 x_{19} & +  0.08 x_{24}\\
 x_{65}   &  0.945147679325 & +  3.02 x_{78} & -1.89 x_{39} & -0.27 x_{3} & +  0.36 x_{19} & +  0.14 x_{24}\\
 x_{66}   &  4.08438818565 & +  8.20 x_{78} & -5.01 x_{39} & -0.74 x_{3} & -0.05 x_{19} & +  0.71 x_{24}\\
 x_{67}   &  2.83544303797 & +  5.06 x_{78} & -2.68 x_{39} & +  0.19 x_{3} & -0.43 x_{19} & +  0.42 x_{24}\\
 x_{58}   &  0.945147679325 & +  3.02 x_{78} & -1.89 x_{39} & -0.27 x_{3} & +  0.36 x_{19} & +  0.14 x_{24}\\
 x_{69}   &  4.70042194093 & +  8.35 x_{78} & -5.27 x_{39} & -0.63 x_{3} & -0.05 x_{19} & +  0.68 x_{24}\\
 x_{70}   &  1.38396624473 & +  3.85 x_{78} & -2.74 x_{39} & -0.11 x_{3} & +  0.50 x_{19} & +  0.03 x_{24}\\
 x_{71}   &  4.3164556962 & +  8.49 x_{78} & -5.53 x_{39} & -0.52 x_{3} & -0.06 x_{19} & +  0.66 x_{24}\\
 x_{72}   &  0.700421940928 & +  2.35 x_{78} & -0.27 x_{39} & -0.63 x_{3} & -0.55 x_{19} & +  0.68 x_{24}\\
 x_{73}   &  3.69198312236 & +  7.43 x_{78} & -4.87 x_{39} & -0.05 x_{3} & +  0.50 x_{19} & +  0.01 x_{24}\\
 x_{74}   &  4.3164556962 & +  8.49 x_{78} & -5.53 x_{39} & -0.52 x_{3} & -0.06 x_{19} & +  0.66 x_{24}\\
 x_{75}   &  0.84388185654 & +  1.98 x_{78} & -1.08 x_{39} & -0.38 x_{3} & +  0.51 x_{19} & +  0.09 x_{24}\\
 x_{76}   &  4.70042194093 & +  8.35 x_{78} & -5.27 x_{39} & -0.63 x_{3} & -0.05 x_{19} & +  0.68 x_{24}\\
 x_{77}   &  3.11814345992 & +  4.88 x_{78} & -2.61 x_{39} & -0.03 x_{3} & -0.27 x_{19} & +  0.39 x_{24}\\
 x_{51}   &  1.54008438819 & +  3.87 x_{78} & -2.65 x_{39} & +  0.27 x_{3} & -0.01 x_{19} & -0.06 x_{24}\\
 x_{79}   &  0.84388185654 & +  1.98 x_{78} & -1.08 x_{39} & -0.38 x_{3} & +  0.51 x_{19} & +  0.09 x_{24}\\
 x_{80}   &  3.83122362869 & +  6.60 x_{78} & -3.98 x_{39} & -0.52 x_{3} & +  0.10 x_{19} & +  0.58 x_{24}\\
 x_{81}   &  1.38396624473 & +  2.85 x_{78} & -1.74 x_{39} & -0.11 x_{3} & +  0.50 x_{19} & +  0.03 x_{24}\\
 x_{82}   &  2.7805907173 & +  5.08 x_{78} & -2.58 x_{39} & -0.08 x_{3} & -0.57 x_{19} & +  0.56 x_{24}\\
 x_{83}   &  -0.898734177215 & +  0.04 x_{78} & +  0.19 x_{39} & +  0.11 x_{3} & +  0.84 x_{19} & +  0.05 x_{24}\\
 x_{84}   &  -0.616033755274 & +  0.85 x_{78} & +  0.26 x_{39} & +  0.89 x_{3} & +  0.00 x_{19} & +  0.03 x_{24}\\
 x_{85}   &  -0.704641350211 & +  0.19 x_{78} & +  0.97 x_{39} & +  0.92 x_{3} & +  0.58 x_{19} & +  0.48 x_{24}\\
 x_{86}   &  -0.438818565401 & +  0.17 x_{78} & +  0.84 x_{39} & +  0.84 x_{3} & +  0.85 x_{19} & +  0.11 x_{24}\\
 x_{87}   &  -0.616033755274 & +  0.85 x_{78} & +  0.26 x_{39} & +  0.89 x_{3} & +  0.00 x_{19} & +  0.03 x_{24}\\
 x_{88}   &  -0.84388185654 & +  0.02 x_{78} & +  0.08 x_{39} & +  0.38 x_{3} & +  0.49 x_{19} & +  0.91 x_{24}\\
 x_{89}   &  -0.236286919831 & +  0.24 x_{78} & +  0.22 x_{39} & +  0.07 x_{3} & +  0.04 x_{19} & +  0.22 x_{24}\\
 x_{90}   &  -0.126582278481 & +  0.20 x_{78} & +  0.01 x_{39} & +  0.61 x_{3} & +  0.32 x_{19} & +  0.94 x_{24}\\
 x_{91}   &  -0.898734177215 & +  0.04 x_{78} & +  0.19 x_{39} & +  0.11 x_{3} & +  0.84 x_{19} & +  0.05 x_{24}\\
 x_{92}   &  -0.978902953587 & +  0.30 x_{78} & +  0.50 x_{39} & +  0.57 x_{3} & +  0.86 x_{19} & +  0.18 x_{24}\\
 x_{93}   &  -0.337552742616 & +  0.21 x_{78} & +  0.03 x_{39} & +  0.95 x_{3} & +  0.69 x_{19} & +  0.16 x_{24}\\
 x_{94}   &  -0.620253164557 & +  0.39 x_{78} & +  0.96 x_{39} & +  0.18 x_{3} & +  0.03 x_{19} & +  0.19 x_{24}\\
 x_{95}   &  -0.995780590717 & +  0.46 x_{78} & +  0.30 x_{39} & +  0.71 x_{3} & +  0.47 x_{19} & +  0.84 x_{24}\\
 x_{96}   &  -0.540084388186 & +  0.13 x_{78} & +  0.65 x_{39} & +  0.73 x_{3} & +  0.01 x_{19} & +  0.06 x_{24}\\
 x_{97}   &  -0.464135021097 & +  0.41 x_{78} & +  0.05 x_{39} & +  0.56 x_{3} & +  0.02 x_{19} & +  0.10 x_{24}\\
 x_{98}   &  -0.540084388186 & +  0.13 x_{78} & +  0.65 x_{39} & +  0.73 x_{3} & +  0.01 x_{19} & +  0.06 x_{24}\\
 x_{99}   &  -0.0042194092827 & +  0.54 x_{78} & +  0.70 x_{39} & +  0.29 x_{3} & +  0.03 x_{19} & +  0.16 x_{24}\\
 x_{100}   &  -0.95358649789 & +  0.06 x_{78} & +  0.30 x_{39} & +  0.84 x_{3} & +  0.70 x_{19} & +  0.19 x_{24}\\
 x_{101}   &  -0.0210970464135 & +  0.70 x_{78} & +  0.50 x_{39} & +  0.43 x_{3} & +  0.14 x_{19} & +  0.82 x_{24}\\
 x_{102}   &  -0.438818565401 & +  0.17 x_{78} & +  0.84 x_{39} & +  0.84 x_{3} & +  0.85 x_{19} & +  0.11 x_{24}\\
 x_{103}   &  -0.540084388186 & +  0.13 x_{78} & +  0.65 x_{39} & +  0.73 x_{3} & +  0.01 x_{19} & +  0.06 x_{24}\\
 x_{104}   &  -0.0042194092827 & +  0.54 x_{78} & +  0.70 x_{39} & +  0.29 x_{3} & +  0.03 x_{19} & +  0.16 x_{24}\\
 x_{105}   &  -0.864978902954 & +  0.72 x_{78} & +  0.59 x_{39} & +  0.82 x_{3} & +  0.62 x_{19} & +  0.73 x_{24}\\
 x_{106}   &  -0.64135021097 & +  0.09 x_{78} & +  0.46 x_{39} & +  0.61 x_{3} & +  0.17 x_{19} & +  0.01 x_{24}\\
 x_{107}   &  -0.388185654008 & +  0.69 x_{78} & +  0.44 x_{39} & +  0.40 x_{3} & +  0.02 x_{19} & +  0.14 x_{24}\\
 x_{108}   &  -0.101265822785 & +  0.96 x_{78} & +  0.81 x_{39} & +  0.89 x_{3} & +  0.16 x_{19} & +  0.95 x_{24}\\
 x_{109}   &  -0.772151898734 & +  0.84 x_{78} & +  0.18 x_{39} & +  0.51 x_{3} & +  0.02 x_{19} & +  0.11 x_{24}\\
 x_{110}   &  -0.438818565401 & +  0.17 x_{78} & +  0.84 x_{39} & +  0.84 x_{3} & +  0.85 x_{19} & +  0.11 x_{24}\\
 x_{111}   &  -0.181434599156 & +  0.22 x_{78} & +  0.12 x_{39} & +  0.34 x_{3} & +  0.18 x_{19} & +  0.08 x_{24}\\
 x_{112}   &  -0.126582278481 & +  0.20 x_{78} & +  0.01 x_{39} & +  0.61 x_{3} & +  0.32 x_{19} & +  0.94 x_{24}\\
 x_{113}   &  -0.742616033755 & +  0.05 x_{78} & +  0.27 x_{39} & +  0.50 x_{3} & +  0.33 x_{19} & +  0.96 x_{24}\\
 x_{114}   &  -0.388185654008 & +  0.69 x_{78} & +  0.44 x_{39} & +  0.40 x_{3} & +  0.02 x_{19} & +  0.14 x_{24}\\
 x_{115}   &  -0.569620253165 & +  0.91 x_{78} & +  0.56 x_{39} & +  0.73 x_{3} & +  0.70 x_{19} & +  0.22 x_{24}\\
 x_{116}   &  -0.64135021097 & +  0.09 x_{78} & +  0.46 x_{39} & +  0.61 x_{3} & +  0.17 x_{19} & +  0.01 x_{24}\\
 x_{117}   &  -0.611814345992 & +  0.31 x_{78} & +  0.56 x_{39} & +  0.60 x_{3} & +  0.48 x_{19} & +  0.86 x_{24}\\
 x_{118}   &  -0.101265822785 & +  0.96 x_{78} & +  0.81 x_{39} & +  0.89 x_{3} & +  0.16 x_{19} & +  0.95 x_{24}\\
 x_{119}   &  -0.101265822785 & +  0.96 x_{78} & +  0.81 x_{39} & +  0.89 x_{3} & +  0.16 x_{19} & +  0.95 x_{24}\\
 x_{120}   &  -0.84388185654 & +  0.02 x_{78} & +  0.08 x_{39} & +  0.38 x_{3} & +  0.49 x_{19} & +  0.91 x_{24}\\
 x_{121}   &  -0.388185654008 & +  0.69 x_{78} & +  0.44 x_{39} & +  0.40 x_{3} & +  0.02 x_{19} & +  0.14 x_{24}\\
 x_{122}   &  -0.64135021097 & +  0.09 x_{78} & +  0.46 x_{39} & +  0.61 x_{3} & +  0.17 x_{19} & +  0.01 x_{24}\\
 x_{123}   &  -0.691983122363 & +  0.57 x_{78} & +  0.87 x_{39} & +  0.05 x_{3} & +  0.50 x_{19} & +  0.99 x_{24}\\
 x_{124}   &  -0.084388185654 & +  0.80 x_{78} & +  0.01 x_{39} & +  0.74 x_{3} & +  0.05 x_{19} & +  0.29 x_{24}\\
 x_{125}   &  -0.147679324895 & +  0.90 x_{78} & +  0.51 x_{39} & +  0.04 x_{3} & +  0.96 x_{19} & +  0.76 x_{24}\\
 x_{126}   &  -0.772151898734 & +  0.84 x_{78} & +  0.18 x_{39} & +  0.51 x_{3} & +  0.02 x_{19} & +  0.11 x_{24}\\
 x_{127}   &  -0.316455696203 & +  0.51 x_{78} & +  0.53 x_{39} & +  0.52 x_{3} & +  0.06 x_{19} & +  0.34 x_{24}\\
 x_{128}   &  -0.586497890295 & +  0.07 x_{78} & +  0.36 x_{39} & +  0.88 x_{3} & +  0.81 x_{19} & +  0.87 x_{24}\\
 x_{129}   &  -0.0337552742616 & +  0.32 x_{78} & +  0.60 x_{39} & +  0.30 x_{3} & +  0.22 x_{19} & +  0.32 x_{24}\\
 x_{130}   &  -0.383966244726 & +  0.15 x_{78} & +  0.74 x_{39} & +  0.11 x_{3} & +  0.50 x_{19} & +  0.97 x_{24}\\
 x_{131}   &  -0.15611814346 & +  0.98 x_{78} & +  0.92 x_{39} & +  0.62 x_{3} & +  0.01 x_{19} & +  0.09 x_{24}\\
 x_{132}   &  -0.447257383966 & +  0.25 x_{78} & +  0.24 x_{39} & +  0.41 x_{3} & +  0.91 x_{19} & +  0.44 x_{24}\\
 x_{133}   &  -0.0464135021097 & +  0.94 x_{78} & +  0.70 x_{39} & +  0.16 x_{3} & +  0.80 x_{19} & +  0.81 x_{24}\\
 x_{134}   &  -0.548523206751 & +  0.21 x_{78} & +  0.05 x_{39} & +  0.30 x_{3} & +  0.07 x_{19} & +  0.39 x_{24}\\
 x_{135}   &  -0.945147679325 & +  0.98 x_{78} & +  0.89 x_{39} & +  0.27 x_{3} & +  0.64 x_{19} & +  0.86 x_{24}\\
 x_{136}   &  -0.084388185654 & +  0.80 x_{78} & +  0.01 x_{39} & +  0.74 x_{3} & +  0.05 x_{19} & +  0.29 x_{24}\\
 x_{137}   &  -0.616033755274 & +  0.85 x_{78} & +  0.26 x_{39} & +  0.89 x_{3} & +  0.00 x_{19} & +  0.03 x_{24}\\
 x_{138}   &  -0.62447257384 & +  0.93 x_{78} & +  0.66 x_{39} & +  0.46 x_{3} & +  0.06 x_{19} & +  0.35 x_{24}\\
 x_{139}   &  -0.485232067511 & +  0.11 x_{78} & +  0.55 x_{39} & +  1.00 x_{3} & +  0.65 x_{19} & +  0.92 x_{24}\\
 x_{140}   &  -0.945147679325 & +  0.98 x_{78} & +  0.89 x_{39} & +  0.27 x_{3} & +  0.64 x_{19} & +  0.86 x_{24}\\
 x_{141}   &  -0.084388185654 & +  0.80 x_{78} & +  0.01 x_{39} & +  0.74 x_{3} & +  0.05 x_{19} & +  0.29 x_{24}\\
 x_{142}   &  -0.835443037975 & +  0.94 x_{78} & +  0.68 x_{39} & +  0.81 x_{3} & +  0.43 x_{19} & +  0.58 x_{24}\\
 x_{143}   &  -0.945147679325 & +  0.98 x_{78} & +  0.89 x_{39} & +  0.27 x_{3} & +  0.64 x_{19} & +  0.86 x_{24}\\
 x_{144}   &  -0.700421940928 & +  0.65 x_{78} & +  0.27 x_{39} & +  0.63 x_{3} & +  0.05 x_{19} & +  0.32 x_{24}\\
 x_{145}   &  -0.383966244726 & +  0.15 x_{78} & +  0.74 x_{39} & +  0.11 x_{3} & +  0.50 x_{19} & +  0.97 x_{24}\\
 x_{146}   &  -0.316455696203 & +  0.51 x_{78} & +  0.53 x_{39} & +  0.52 x_{3} & +  0.06 x_{19} & +  0.34 x_{24}\\
 x_{147}   &  -0.700421940928 & +  0.65 x_{78} & +  0.27 x_{39} & +  0.63 x_{3} & +  0.55 x_{19} & +  0.32 x_{24}\\
 x_{148}   &  -0.691983122363 & +  0.57 x_{78} & +  0.87 x_{39} & +  0.05 x_{3} & +  0.50 x_{19} & +  0.99 x_{24}\\
 x_{149}   &  -0.316455696203 & +  0.51 x_{78} & +  0.53 x_{39} & +  0.52 x_{3} & +  0.06 x_{19} & +  0.34 x_{24}\\
 x_{150}   &  -0.84388185654 & +  0.02 x_{78} & +  0.08 x_{39} & +  0.38 x_{3} & +  0.49 x_{19} & +  0.91 x_{24}\\
 x_{151}   &  -0.700421940928 & +  0.65 x_{78} & +  0.27 x_{39} & +  0.63 x_{3} & +  0.05 x_{19} & +  0.32 x_{24}\\
 x_{152}   &  -0.118143459916 & +  0.12 x_{78} & +  0.61 x_{39} & +  0.03 x_{3} & +  0.27 x_{19} & +  0.61 x_{24}\\
 x_{153}   &  -0.540084388186 & +  0.13 x_{78} & +  0.65 x_{39} & +  0.73 x_{3} & +  0.01 x_{19} & +  0.06 x_{24}\\
 x_{154}   &  -0.84388185654 & +  0.02 x_{78} & +  0.08 x_{39} & +  0.38 x_{3} & +  0.49 x_{19} & +  0.91 x_{24}\\
 x_{155}   &  -0.831223628692 & +  0.40 x_{78} & +  0.98 x_{39} & +  0.52 x_{3} & +  0.90 x_{19} & +  0.42 x_{24}\\
 x_{156}   &  -0.383966244726 & +  0.15 x_{78} & +  0.74 x_{39} & +  0.11 x_{3} & +  0.50 x_{19} & +  0.97 x_{24}\\
 x_{157}   &  -0.7805907173 & +  0.92 x_{78} & +  0.58 x_{39} & +  0.08 x_{3} & +  0.57 x_{19} & +  0.44 x_{24}\\
\hline
z    &  5.30801687764 & -0.43 x_{78} & -0.13 x_{39} & -3.95 x_{3} & -0.00 x_{19} & -0.01 x_{24}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.0 & -1.00 x_{96} & -0.00 x_{97} & +  1.00 x_{3} & +  1.00 x_{106} & +  0.00 x_{84}\\
 x_{1}   &  1.5 & -0.50 x_{96} & -0.00 x_{97} & +  0.25 x_{3} & +  0.00 x_{106} & +  0.25 x_{84}\\
 x_{9}   &  15.0 & -20.00 x_{96} & + 16.00 x_{97} & + 10.50 x_{3} & -4.00 x_{106} & +  8.50 x_{84}\\
 x_{39}   &  0.5 & +  1.50 x_{96} & -1.00 x_{97} & -0.75 x_{3} & -0.00 x_{106} & +  0.25 x_{84}\\
 x_{78}   &  0.5 & -0.50 x_{96} & -0.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  1.25 x_{84}\\
 x_{68}   &  3.0 & -5.00 x_{96} & +  3.00 x_{97} & -2.50 x_{3} & +  3.00 x_{106} & +  2.50 x_{84}\\
 x_{5}   &  1.5 & -2.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  0.00 x_{106} & +  1.25 x_{84}\\
 x_{13}   &  6.5 & -12.50 x_{96} & +  7.00 x_{97} & -0.25 x_{3} & +  4.00 x_{106} & +  3.75 x_{84}\\
 x_{14}   &  3.0 & -5.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  7.00 x_{106} & -1.00 x_{84}\\
 x_{15}   &  8.0 & -10.00 x_{96} & + 14.00 x_{97} & -2.50 x_{3} & +  0.00 x_{106} & +  1.50 x_{84}\\
 x_{24}   &  2.0 & +  2.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & -1.00 x_{106} & -5.00 x_{84}\\
 x_{12}   &  5.5 & -12.50 x_{96} & +  4.00 x_{97} & -0.25 x_{3} & +  0.00 x_{106} & +  7.75 x_{84}\\
 x_{18}   &  5.5 & -10.50 x_{96} & +  7.00 x_{97} & -0.75 x_{3} & +  3.00 x_{106} & +  3.25 x_{84}\\
 x_{16}   &  2.0 & -7.00 x_{96} & +  3.00 x_{97} & +  0.00 x_{3} & +  6.00 x_{106} & +  0.00 x_{84}\\
 x_{20}   &  6.5 & -8.50 x_{96} & + 14.00 x_{97} & -2.75 x_{3} & -1.00 x_{106} & +  1.25 x_{84}\\
 x_{21}   &  2.0 & -7.00 x_{96} & +  3.00 x_{97} & +  0.00 x_{3} & +  6.00 x_{106} & +  0.00 x_{84}\\
 x_{22}   &  5.0 & -12.00 x_{96} & +  4.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  7.50 x_{84}\\
 x_{23}   &  3.0 & +  5.00 x_{96} & +  6.00 x_{97} & -3.00 x_{3} & -5.00 x_{106} & -2.00 x_{84}\\
 x_{8}   &  0.5 & +  3.50 x_{96} & -2.00 x_{97} & -1.75 x_{3} & -0.00 x_{106} & -0.75 x_{84}\\
 x_{6}   &  3.0 & -9.00 x_{96} & +  3.00 x_{97} & +  0.00 x_{3} & +  8.00 x_{106} & +  0.00 x_{84}\\
 x_{25}   &  2.5 & -5.50 x_{96} & +  2.00 x_{97} & -1.75 x_{3} & +  6.00 x_{106} & +  0.25 x_{84}\\
 x_{17}   &  5.0 & -12.00 x_{96} & +  4.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  7.50 x_{84}\\
 x_{28}   &  6.0 & -7.00 x_{96} & +  6.00 x_{97} & -3.00 x_{3} & +  2.00 x_{106} & +  3.00 x_{84}\\
 x_{26}   &  2.5 & -4.50 x_{96} & +  2.00 x_{97} & -1.75 x_{3} & +  5.00 x_{106} & +  0.25 x_{84}\\
 x_{27}   &  4.5 & -11.50 x_{96} & +  4.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  7.25 x_{84}\\
 x_{29}   &  2.5 & -1.50 x_{96} & +  1.00 x_{97} & -2.75 x_{3} & +  5.00 x_{106} & -0.75 x_{84}\\
 x_{32}   &  5.0 & -11.00 x_{96} & +  4.00 x_{97} & -1.00 x_{3} & +  0.00 x_{106} & +  7.00 x_{84}\\
 x_{33}   &  3.5 & +  4.50 x_{96} & +  7.00 x_{97} & -3.25 x_{3} & -6.00 x_{106} & -1.25 x_{84}\\
 x_{34}   &  3.0 & -6.00 x_{96} & +  2.00 x_{97} & -1.50 x_{3} & +  5.00 x_{106} & +  1.50 x_{84}\\
 x_{35}   &  4.0 & -7.00 x_{96} & +  4.00 x_{97} & -2.00 x_{3} & +  4.00 x_{106} & +  2.00 x_{84}\\
 x_{31}   &  2.5 & -5.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  4.00 x_{106} & +  1.25 x_{84}\\
 x_{37}   &  4.5 & -11.50 x_{96} & +  4.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  7.25 x_{84}\\
 x_{38}   &  2.5 & +  2.50 x_{96} & +  7.00 x_{97} & -2.75 x_{3} & -5.00 x_{106} & -0.75 x_{84}\\
 x_{2}   &  1.5 & -0.50 x_{96} & -1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{40}   &  4.0 & -5.00 x_{96} & +  2.00 x_{97} & -3.50 x_{3} & +  5.00 x_{106} & +  1.50 x_{84}\\
 x_{41}   &  0.5 & +  1.50 x_{96} & -1.00 x_{97} & -0.75 x_{3} & -0.00 x_{106} & +  0.25 x_{84}\\
 x_{42}   &  5.5 & -9.50 x_{96} & +  6.00 x_{97} & -2.25 x_{3} & +  3.00 x_{106} & +  3.75 x_{84}\\
 x_{43}   &  3.5 & -3.50 x_{96} & +  2.00 x_{97} & -2.75 x_{3} & +  5.00 x_{106} & +  0.25 x_{84}\\
 x_{44}   &  3.5 & +  2.50 x_{96} & + 10.00 x_{97} & -3.75 x_{3} & -2.00 x_{106} & -3.75 x_{84}\\
 x_{45}   &  2.5 & -4.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  3.00 x_{106} & +  1.25 x_{84}\\
 x_{30}   &  3.5 & -9.50 x_{96} & +  3.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  6.25 x_{84}\\
 x_{36}   &  2.5 & -6.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  5.00 x_{106} & +  1.25 x_{84}\\
 x_{48}   &  6.0 & -13.00 x_{96} & +  6.00 x_{97} & -2.50 x_{3} & +  3.00 x_{106} & +  7.50 x_{84}\\
 x_{49}   &  7.0 & -10.00 x_{96} & + 12.00 x_{97} & -4.50 x_{3} & -1.00 x_{106} & +  5.50 x_{84}\\
 x_{50}   &  2.5 & -3.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  0.00 x_{106} & +  2.25 x_{84}\\
 x_{46}   &  3.0 & -9.00 x_{96} & +  3.00 x_{97} & -0.00 x_{3} & +  0.00 x_{106} & +  6.00 x_{84}\\
 x_{52}   &  6.0 & -7.00 x_{96} & + 10.00 x_{97} & -4.00 x_{3} & -1.00 x_{106} & +  4.00 x_{84}\\
 x_{53}   &  3.0 & -6.00 x_{96} & +  4.00 x_{97} & -1.50 x_{3} & +  1.00 x_{106} & +  3.50 x_{84}\\
 x_{54}   &  6.5 & -8.50 x_{96} & + 11.00 x_{97} & -4.75 x_{3} & -2.00 x_{106} & +  5.25 x_{84}\\
 x_{47}   &  3.0 & -8.00 x_{96} & +  4.00 x_{97} & -1.50 x_{3} & +  3.00 x_{106} & +  3.50 x_{84}\\
 x_{56}   &  2.5 & -6.50 x_{96} & +  2.00 x_{97} & -0.25 x_{3} & +  0.00 x_{106} & +  4.75 x_{84}\\
 x_{57}   &  6.0 & -9.00 x_{96} & + 10.00 x_{97} & -3.50 x_{3} & +  0.00 x_{106} & +  4.50 x_{84}\\
 x_{55}   &  2.5 & -4.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  1.00 x_{106} & +  2.25 x_{84}\\
 x_{59}   &  7.0 & -10.00 x_{96} & + 11.00 x_{97} & -4.50 x_{3} & -1.00 x_{106} & +  5.50 x_{84}\\
 x_{60}   &  2.5 & -5.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  2.00 x_{106} & +  2.25 x_{84}\\
 x_{61}   &  7.0 & -10.00 x_{96} & + 12.00 x_{97} & -4.50 x_{3} & -1.00 x_{106} & +  5.50 x_{84}\\
 x_{62}   &  1.0 & -1.00 x_{96} & -0.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  1.50 x_{84}\\
 x_{63}   &  7.5 & -9.50 x_{96} & + 11.00 x_{97} & -4.25 x_{3} & -1.00 x_{106} & +  5.75 x_{84}\\
 x_{64}   &  3.0 & -7.00 x_{96} & +  4.00 x_{97} & -1.50 x_{3} & +  2.00 x_{106} & +  3.50 x_{84}\\
 x_{65}   &  2.5 & -5.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  2.00 x_{106} & +  2.25 x_{84}\\
 x_{66}   &  7.0 & -10.00 x_{96} & + 12.00 x_{97} & -4.50 x_{3} & -1.00 x_{106} & +  5.50 x_{84}\\
 x_{67}   &  4.0 & -4.00 x_{96} & +  6.00 x_{97} & -2.00 x_{3} & -3.00 x_{106} & +  4.00 x_{84}\\
 x_{58}   &  2.5 & -5.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  2.00 x_{106} & +  2.25 x_{84}\\
 x_{69}   &  7.5 & -10.50 x_{96} & + 12.00 x_{97} & -4.25 x_{3} & -1.00 x_{106} & +  5.75 x_{84}\\
 x_{70}   &  3.0 & -8.00 x_{96} & +  4.00 x_{97} & -1.50 x_{3} & +  3.00 x_{106} & +  3.50 x_{84}\\
 x_{71}   &  7.0 & -11.00 x_{96} & + 12.00 x_{97} & -4.00 x_{3} & -1.00 x_{106} & +  6.00 x_{84}\\
 x_{72}   &  2.0 & +  2.00 x_{96} & +  6.00 x_{97} & -3.00 x_{3} & -4.00 x_{106} & -0.00 x_{84}\\
 x_{73}   &  6.0 & -13.00 x_{96} & +  6.00 x_{97} & -2.50 x_{3} & +  3.00 x_{106} & +  7.50 x_{84}\\
 x_{74}   &  7.0 & -11.00 x_{96} & + 12.00 x_{97} & -4.00 x_{3} & -1.00 x_{106} & +  6.00 x_{84}\\
 x_{75}   &  2.5 & -4.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  3.00 x_{106} & +  1.25 x_{84}\\
 x_{76}   &  7.5 & -10.50 x_{96} & + 12.00 x_{97} & -4.25 x_{3} & -1.00 x_{106} & +  5.75 x_{84}\\
 x_{77}   &  4.5 & -4.50 x_{96} & +  6.00 x_{97} & -2.25 x_{3} & -2.00 x_{106} & +  3.75 x_{84}\\
 x_{51}   &  2.0 & -6.00 x_{96} & +  2.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  4.50 x_{84}\\
 x_{79}   &  2.5 & -4.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  3.00 x_{106} & +  1.25 x_{84}\\
 x_{80}   &  6.5 & -8.50 x_{96} & + 10.00 x_{97} & -3.75 x_{3} & +  0.00 x_{106} & +  4.25 x_{84}\\
 x_{81}   &  3.0 & -6.00 x_{96} & +  3.00 x_{97} & -1.50 x_{3} & +  3.00 x_{106} & +  2.50 x_{84}\\
 x_{82}   &  4.0 & -3.00 x_{96} & +  7.00 x_{97} & -2.50 x_{3} & -4.00 x_{106} & +  3.50 x_{84}\\
 x_{19}   &  2.0 & -4.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  6.00 x_{106} & -1.00 x_{84}\\
 x_{7}   &  6.0 & -13.00 x_{96} & +  4.00 x_{97} & +  0.00 x_{3} & +  0.00 x_{106} & +  8.00 x_{84}\\
 x_{85}   &  2.0 & -0.00 x_{96} & +  5.00 x_{97} & -1.50 x_{3} & +  3.00 x_{106} & -2.50 x_{84}\\
 x_{86}   &  2.0 & -2.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{87}   &  -2.06779038336e-15 & +  0.00 x_{96} & -0.00 x_{97} & -0.00 x_{3} & -0.00 x_{106} & +  1.00 x_{84}\\
 x_{11}   &  2.0 & -8.00 x_{96} & +  3.00 x_{97} & +  0.00 x_{3} & +  7.00 x_{106} & +  0.00 x_{84}\\
 x_{89}   &  0.5 & +  0.50 x_{96} & +  2.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & -0.75 x_{84}\\
 x_{90}   &  2.5 & +  0.50 x_{96} & + 10.00 x_{97} & -1.75 x_{3} & +  1.00 x_{106} & -4.75 x_{84}\\
 x_{91}   &  1.0 & -3.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{92}   &  1.5 & -2.50 x_{96} & +  3.00 x_{97} & -1.25 x_{3} & +  5.00 x_{106} & -1.25 x_{84}\\
 x_{93}   &  1.5 & -2.50 x_{96} & +  3.00 x_{97} & -0.25 x_{3} & +  4.00 x_{106} & -1.25 x_{84}\\
 x_{94}   &  0.5 & +  1.50 x_{96} & +  1.00 x_{97} & -1.25 x_{3} & -0.00 x_{106} & -0.25 x_{84}\\
 x_{95}   &  2.0 & -0.00 x_{96} & +  9.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -4.00 x_{84}\\
 x_{10}   &  0.5 & +  9.50 x_{96} & +  8.00 x_{97} & -2.25 x_{3} & -8.00 x_{106} & -5.25 x_{84}\\
 x_{88}   &  2.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{98}   &  5.46784839628e-15 & +  1.00 x_{96} & +  0.00 x_{97} & -0.00 x_{3} & +  0.00 x_{106} & -0.00 x_{84}\\
 x_{99}   &  1.0 & +  1.00 x_{96} & +  1.00 x_{97} & -1.00 x_{3} & -0.00 x_{106} & -0.00 x_{84}\\
 x_{100}   &  1.0 & -2.00 x_{96} & +  3.00 x_{97} & -0.50 x_{3} & +  4.00 x_{106} & -1.50 x_{84}\\
 x_{101}   &  2.5 & +  1.50 x_{96} & +  8.00 x_{97} & -2.25 x_{3} & +  0.00 x_{106} & -3.25 x_{84}\\
 x_{102}   &  2.0 & -2.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{103}   &  -6.24500451351e-17 & +  1.00 x_{96} & +  0.00 x_{97} & -0.00 x_{3} & -0.00 x_{106} & -0.00 x_{84}\\
 x_{104}   &  1.0 & +  1.00 x_{96} & +  1.00 x_{97} & -1.00 x_{3} & -0.00 x_{106} & -0.00 x_{84}\\
 x_{105}   &  2.5 & -0.50 x_{96} & +  8.00 x_{97} & -2.25 x_{3} & +  3.00 x_{106} & -3.25 x_{84}\\
 x_{83}   &  1.0 & -3.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{107}   &  0.5 & +  0.50 x_{96} & +  1.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  0.25 x_{84}\\
 x_{108}   &  3.0 & +  2.00 x_{96} & +  9.00 x_{97} & -2.50 x_{3} & +  0.00 x_{106} & -3.50 x_{84}\\
 x_{109}   &  -3.12944115066e-15 & +  0.00 x_{96} & +  1.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  0.50 x_{84}\\
 x_{110}   &  2.0 & -2.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{111}   &  0.5 & -0.50 x_{96} & +  1.00 x_{97} & -0.25 x_{3} & +  1.00 x_{106} & -0.25 x_{84}\\
 x_{112}   &  2.5 & +  0.50 x_{96} & + 10.00 x_{97} & -1.75 x_{3} & +  1.00 x_{106} & -4.75 x_{84}\\
 x_{113}   &  2.0 & +  1.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  1.00 x_{106} & -5.00 x_{84}\\
 x_{114}   &  0.5 & +  0.50 x_{96} & +  1.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  0.25 x_{84}\\
 x_{115}   &  2.0 & -2.00 x_{96} & +  3.00 x_{97} & -1.50 x_{3} & +  4.00 x_{106} & -0.50 x_{84}\\
 x_{116}   &  -5.49560397189e-15 & +  0.00 x_{96} & -0.00 x_{97} & +  0.00 x_{3} & +  1.00 x_{106} & +  0.00 x_{84}\\
 x_{117}   &  2.5 & +  0.50 x_{96} & +  9.00 x_{97} & -2.25 x_{3} & +  2.00 x_{106} & -4.25 x_{84}\\
 x_{118}   &  3.0 & +  2.00 x_{96} & +  9.00 x_{97} & -2.50 x_{3} & +  0.00 x_{106} & -3.50 x_{84}\\
 x_{119}   &  3.0 & +  2.00 x_{96} & +  9.00 x_{97} & -2.50 x_{3} & +  0.00 x_{106} & -3.50 x_{84}\\
 x_{120}   &  2.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{121}   &  0.5 & +  0.50 x_{96} & +  1.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  0.25 x_{84}\\
 x_{122}   &  -2.80331313718e-15 & +  0.00 x_{96} & -0.00 x_{97} & +  0.00 x_{3} & +  1.00 x_{106} & -0.00 x_{84}\\
 x_{123}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.50 x_{3} & +  2.00 x_{106} & -4.50 x_{84}\\
 x_{124}   &  1.0 & -0.00 x_{96} & +  3.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & -0.50 x_{84}\\
 x_{125}   &  4.0 & -2.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  5.00 x_{106} & -3.50 x_{84}\\
 x_{126}   &  -2.45636844198e-15 & +  0.00 x_{96} & +  1.00 x_{97} & -0.50 x_{3} & -0.00 x_{106} & +  0.50 x_{84}\\
 x_{127}   &  1.0 & +  1.00 x_{96} & +  3.00 x_{97} & -1.00 x_{3} & +  0.00 x_{106} & -1.00 x_{84}\\
 x_{128}   &  3.0 & -1.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  4.00 x_{106} & -5.00 x_{84}\\
 x_{129}   &  1.5 & +  0.50 x_{96} & +  3.00 x_{97} & -1.25 x_{3} & +  1.00 x_{106} & -1.25 x_{84}\\
 x_{130}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{131}   &  1.0 & +  1.00 x_{96} & +  0.00 x_{97} & -1.00 x_{3} & -0.00 x_{106} & +  1.00 x_{84}\\
 x_{132}   &  2.5 & -2.50 x_{96} & +  6.00 x_{97} & -1.75 x_{3} & +  5.00 x_{106} & -2.75 x_{84}\\
 x_{133}   &  4.0 & -1.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  4.00 x_{106} & -3.50 x_{84}\\
 x_{134}   &  0.5 & +  0.50 x_{96} & +  4.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & -1.75 x_{84}\\
 x_{135}   &  3.0 & -0.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  3.00 x_{106} & -3.50 x_{84}\\
 x_{136}   &  1.0 & -0.00 x_{96} & +  3.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & -0.50 x_{84}\\
 x_{137}   &  2.22044604925e-16 & +  0.00 x_{96} & +  0.00 x_{97} & +  0.00 x_{3} & -0.00 x_{106} & +  1.00 x_{84}\\
 x_{138}   &  1.0 & +  1.00 x_{96} & +  3.00 x_{97} & -1.50 x_{3} & +  0.00 x_{106} & -0.50 x_{84}\\
 x_{139}   &  3.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  3.00 x_{106} & -5.00 x_{84}\\
 x_{140}   &  3.0 & -0.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  3.00 x_{106} & -3.50 x_{84}\\
 x_{141}   &  1.0 & -0.00 x_{96} & +  3.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & -0.50 x_{84}\\
 x_{142}   &  2.0 & -0.00 x_{96} & +  6.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -2.00 x_{84}\\
 x_{143}   &  3.0 & -0.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  3.00 x_{106} & -3.50 x_{84}\\
 x_{144}   &  0.5 & +  0.50 x_{96} & +  3.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & -0.75 x_{84}\\
 x_{145}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{146}   &  1.0 & +  1.00 x_{96} & +  3.00 x_{97} & -1.00 x_{3} & +  0.00 x_{106} & -1.00 x_{84}\\
 x_{147}   &  1.5 & -1.50 x_{96} & +  4.00 x_{97} & -1.25 x_{3} & +  3.00 x_{106} & -1.25 x_{84}\\
 x_{148}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.50 x_{3} & +  2.00 x_{106} & -4.50 x_{84}\\
 x_{149}   &  1.0 & +  1.00 x_{96} & +  3.00 x_{97} & -1.00 x_{3} & +  0.00 x_{106} & -1.00 x_{84}\\
 x_{150}   &  2.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{151}   &  0.5 & +  0.50 x_{96} & +  3.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & -0.75 x_{84}\\
 x_{152}   &  2.0 & +  1.00 x_{96} & +  6.00 x_{97} & -2.00 x_{3} & +  1.00 x_{106} & -3.00 x_{84}\\
 x_{153}   &  -6.75848266241e-15 & +  1.00 x_{96} & -0.00 x_{97} & -0.00 x_{3} & -0.00 x_{106} & -0.00 x_{84}\\
 x_{154}   &  2.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{155}   &  2.5 & -1.50 x_{96} & +  5.00 x_{97} & -2.25 x_{3} & +  5.00 x_{106} & -2.25 x_{84}\\
 x_{156}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{157}   &  2.0 & -1.00 x_{96} & +  5.00 x_{97} & -2.50 x_{3} & +  3.00 x_{106} & -1.50 x_{84}\\
\hline
z    &  5.0 & +  0.00 x_{96} & -0.00 x_{97} & -3.50 x_{3} & -0.00 x_{106} & -0.50 x_{84}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.0 & -1.00 x_{96} & -0.00 x_{97} & +  1.00 x_{3} & +  1.00 x_{106} & +  0.00 x_{84}\\
 x_{1}   &  1.5 & -0.50 x_{96} & -0.00 x_{97} & +  0.25 x_{3} & +  0.00 x_{106} & +  0.25 x_{84}\\
 x_{9}   &  15.0 & -20.00 x_{96} & + 16.00 x_{97} & + 10.50 x_{3} & -4.00 x_{106} & +  8.50 x_{84}\\
 x_{39}   &  0.5 & +  1.50 x_{96} & -1.00 x_{97} & -0.75 x_{3} & -0.00 x_{106} & +  0.25 x_{84}\\
 x_{78}   &  0.5 & -0.50 x_{96} & -0.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  1.25 x_{84}\\
 x_{68}   &  3.0 & -5.00 x_{96} & +  3.00 x_{97} & -2.50 x_{3} & +  3.00 x_{106} & +  2.50 x_{84}\\
 x_{5}   &  1.5 & -2.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  0.00 x_{106} & +  1.25 x_{84}\\
 x_{13}   &  6.5 & -12.50 x_{96} & +  7.00 x_{97} & -0.25 x_{3} & +  4.00 x_{106} & +  3.75 x_{84}\\
 x_{14}   &  3.0 & -5.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  7.00 x_{106} & -1.00 x_{84}\\
 x_{15}   &  8.0 & -10.00 x_{96} & + 14.00 x_{97} & -2.50 x_{3} & +  0.00 x_{106} & +  1.50 x_{84}\\
 x_{24}   &  2.0 & +  2.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & -1.00 x_{106} & -5.00 x_{84}\\
 x_{12}   &  5.5 & -12.50 x_{96} & +  4.00 x_{97} & -0.25 x_{3} & +  0.00 x_{106} & +  7.75 x_{84}\\
 x_{18}   &  5.5 & -10.50 x_{96} & +  7.00 x_{97} & -0.75 x_{3} & +  3.00 x_{106} & +  3.25 x_{84}\\
 x_{16}   &  2.0 & -7.00 x_{96} & +  3.00 x_{97} & +  0.00 x_{3} & +  6.00 x_{106} & +  0.00 x_{84}\\
 x_{20}   &  6.5 & -8.50 x_{96} & + 14.00 x_{97} & -2.75 x_{3} & -1.00 x_{106} & +  1.25 x_{84}\\
 x_{21}   &  2.0 & -7.00 x_{96} & +  3.00 x_{97} & +  0.00 x_{3} & +  6.00 x_{106} & +  0.00 x_{84}\\
 x_{22}   &  5.0 & -12.00 x_{96} & +  4.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  7.50 x_{84}\\
 x_{23}   &  3.0 & +  5.00 x_{96} & +  6.00 x_{97} & -3.00 x_{3} & -5.00 x_{106} & -2.00 x_{84}\\
 x_{8}   &  0.5 & +  3.50 x_{96} & -2.00 x_{97} & -1.75 x_{3} & -0.00 x_{106} & -0.75 x_{84}\\
 x_{6}   &  3.0 & -9.00 x_{96} & +  3.00 x_{97} & +  0.00 x_{3} & +  8.00 x_{106} & +  0.00 x_{84}\\
 x_{25}   &  2.5 & -5.50 x_{96} & +  2.00 x_{97} & -1.75 x_{3} & +  6.00 x_{106} & +  0.25 x_{84}\\
 x_{17}   &  5.0 & -12.00 x_{96} & +  4.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  7.50 x_{84}\\
 x_{28}   &  6.0 & -7.00 x_{96} & +  6.00 x_{97} & -3.00 x_{3} & +  2.00 x_{106} & +  3.00 x_{84}\\
 x_{26}   &  2.5 & -4.50 x_{96} & +  2.00 x_{97} & -1.75 x_{3} & +  5.00 x_{106} & +  0.25 x_{84}\\
 x_{27}   &  4.5 & -11.50 x_{96} & +  4.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  7.25 x_{84}\\
 x_{29}   &  2.5 & -1.50 x_{96} & +  1.00 x_{97} & -2.75 x_{3} & +  5.00 x_{106} & -0.75 x_{84}\\
 x_{32}   &  5.0 & -11.00 x_{96} & +  4.00 x_{97} & -1.00 x_{3} & +  0.00 x_{106} & +  7.00 x_{84}\\
 x_{33}   &  3.5 & +  4.50 x_{96} & +  7.00 x_{97} & -3.25 x_{3} & -6.00 x_{106} & -1.25 x_{84}\\
 x_{34}   &  3.0 & -6.00 x_{96} & +  2.00 x_{97} & -1.50 x_{3} & +  5.00 x_{106} & +  1.50 x_{84}\\
 x_{35}   &  4.0 & -7.00 x_{96} & +  4.00 x_{97} & -2.00 x_{3} & +  4.00 x_{106} & +  2.00 x_{84}\\
 x_{31}   &  2.5 & -5.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  4.00 x_{106} & +  1.25 x_{84}\\
 x_{37}   &  4.5 & -11.50 x_{96} & +  4.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  7.25 x_{84}\\
 x_{38}   &  2.5 & +  2.50 x_{96} & +  7.00 x_{97} & -2.75 x_{3} & -5.00 x_{106} & -0.75 x_{84}\\
 x_{2}   &  1.5 & -0.50 x_{96} & -1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{40}   &  4.0 & -5.00 x_{96} & +  2.00 x_{97} & -3.50 x_{3} & +  5.00 x_{106} & +  1.50 x_{84}\\
 x_{41}   &  0.5 & +  1.50 x_{96} & -1.00 x_{97} & -0.75 x_{3} & -0.00 x_{106} & +  0.25 x_{84}\\
 x_{42}   &  5.5 & -9.50 x_{96} & +  6.00 x_{97} & -2.25 x_{3} & +  3.00 x_{106} & +  3.75 x_{84}\\
 x_{43}   &  3.5 & -3.50 x_{96} & +  2.00 x_{97} & -2.75 x_{3} & +  5.00 x_{106} & +  0.25 x_{84}\\
 x_{44}   &  3.5 & +  2.50 x_{96} & + 10.00 x_{97} & -3.75 x_{3} & -2.00 x_{106} & -3.75 x_{84}\\
 x_{45}   &  2.5 & -4.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  3.00 x_{106} & +  1.25 x_{84}\\
 x_{30}   &  3.5 & -9.50 x_{96} & +  3.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  6.25 x_{84}\\
 x_{36}   &  2.5 & -6.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  5.00 x_{106} & +  1.25 x_{84}\\
 x_{48}   &  6.0 & -13.00 x_{96} & +  6.00 x_{97} & -2.50 x_{3} & +  3.00 x_{106} & +  7.50 x_{84}\\
 x_{49}   &  7.0 & -10.00 x_{96} & + 12.00 x_{97} & -4.50 x_{3} & -1.00 x_{106} & +  5.50 x_{84}\\
 x_{50}   &  2.5 & -3.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  0.00 x_{106} & +  2.25 x_{84}\\
 x_{46}   &  3.0 & -9.00 x_{96} & +  3.00 x_{97} & -0.00 x_{3} & +  0.00 x_{106} & +  6.00 x_{84}\\
 x_{52}   &  6.0 & -7.00 x_{96} & + 10.00 x_{97} & -4.00 x_{3} & -1.00 x_{106} & +  4.00 x_{84}\\
 x_{53}   &  3.0 & -6.00 x_{96} & +  4.00 x_{97} & -1.50 x_{3} & +  1.00 x_{106} & +  3.50 x_{84}\\
 x_{54}   &  6.5 & -8.50 x_{96} & + 11.00 x_{97} & -4.75 x_{3} & -2.00 x_{106} & +  5.25 x_{84}\\
 x_{47}   &  3.0 & -8.00 x_{96} & +  4.00 x_{97} & -1.50 x_{3} & +  3.00 x_{106} & +  3.50 x_{84}\\
 x_{56}   &  2.5 & -6.50 x_{96} & +  2.00 x_{97} & -0.25 x_{3} & +  0.00 x_{106} & +  4.75 x_{84}\\
 x_{57}   &  6.0 & -9.00 x_{96} & + 10.00 x_{97} & -3.50 x_{3} & +  0.00 x_{106} & +  4.50 x_{84}\\
 x_{55}   &  2.5 & -4.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  1.00 x_{106} & +  2.25 x_{84}\\
 x_{59}   &  7.0 & -10.00 x_{96} & + 11.00 x_{97} & -4.50 x_{3} & -1.00 x_{106} & +  5.50 x_{84}\\
 x_{60}   &  2.5 & -5.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  2.00 x_{106} & +  2.25 x_{84}\\
 x_{61}   &  7.0 & -10.00 x_{96} & + 12.00 x_{97} & -4.50 x_{3} & -1.00 x_{106} & +  5.50 x_{84}\\
 x_{62}   &  1.0 & -1.00 x_{96} & -0.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  1.50 x_{84}\\
 x_{63}   &  7.5 & -9.50 x_{96} & + 11.00 x_{97} & -4.25 x_{3} & -1.00 x_{106} & +  5.75 x_{84}\\
 x_{64}   &  3.0 & -7.00 x_{96} & +  4.00 x_{97} & -1.50 x_{3} & +  2.00 x_{106} & +  3.50 x_{84}\\
 x_{65}   &  2.5 & -5.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  2.00 x_{106} & +  2.25 x_{84}\\
 x_{66}   &  7.0 & -10.00 x_{96} & + 12.00 x_{97} & -4.50 x_{3} & -1.00 x_{106} & +  5.50 x_{84}\\
 x_{67}   &  4.0 & -4.00 x_{96} & +  6.00 x_{97} & -2.00 x_{3} & -3.00 x_{106} & +  4.00 x_{84}\\
 x_{58}   &  2.5 & -5.50 x_{96} & +  4.00 x_{97} & -1.75 x_{3} & +  2.00 x_{106} & +  2.25 x_{84}\\
 x_{69}   &  7.5 & -10.50 x_{96} & + 12.00 x_{97} & -4.25 x_{3} & -1.00 x_{106} & +  5.75 x_{84}\\
 x_{70}   &  3.0 & -8.00 x_{96} & +  4.00 x_{97} & -1.50 x_{3} & +  3.00 x_{106} & +  3.50 x_{84}\\
 x_{71}   &  7.0 & -11.00 x_{96} & + 12.00 x_{97} & -4.00 x_{3} & -1.00 x_{106} & +  6.00 x_{84}\\
 x_{72}   &  2.0 & +  2.00 x_{96} & +  6.00 x_{97} & -3.00 x_{3} & -4.00 x_{106} & -0.00 x_{84}\\
 x_{73}   &  6.0 & -13.00 x_{96} & +  6.00 x_{97} & -2.50 x_{3} & +  3.00 x_{106} & +  7.50 x_{84}\\
 x_{74}   &  7.0 & -11.00 x_{96} & + 12.00 x_{97} & -4.00 x_{3} & -1.00 x_{106} & +  6.00 x_{84}\\
 x_{75}   &  2.5 & -4.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  3.00 x_{106} & +  1.25 x_{84}\\
 x_{76}   &  7.5 & -10.50 x_{96} & + 12.00 x_{97} & -4.25 x_{3} & -1.00 x_{106} & +  5.75 x_{84}\\
 x_{77}   &  4.5 & -4.50 x_{96} & +  6.00 x_{97} & -2.25 x_{3} & -2.00 x_{106} & +  3.75 x_{84}\\
 x_{51}   &  2.0 & -6.00 x_{96} & +  2.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  4.50 x_{84}\\
 x_{79}   &  2.5 & -4.50 x_{96} & +  3.00 x_{97} & -1.75 x_{3} & +  3.00 x_{106} & +  1.25 x_{84}\\
 x_{80}   &  6.5 & -8.50 x_{96} & + 10.00 x_{97} & -3.75 x_{3} & +  0.00 x_{106} & +  4.25 x_{84}\\
 x_{81}   &  3.0 & -6.00 x_{96} & +  3.00 x_{97} & -1.50 x_{3} & +  3.00 x_{106} & +  2.50 x_{84}\\
 x_{82}   &  4.0 & -3.00 x_{96} & +  7.00 x_{97} & -2.50 x_{3} & -4.00 x_{106} & +  3.50 x_{84}\\
 x_{19}   &  2.0 & -4.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  6.00 x_{106} & -1.00 x_{84}\\
 x_{7}   &  6.0 & -13.00 x_{96} & +  4.00 x_{97} & +  0.00 x_{3} & +  0.00 x_{106} & +  8.00 x_{84}\\
 x_{85}   &  2.0 & -0.00 x_{96} & +  5.00 x_{97} & -1.50 x_{3} & +  3.00 x_{106} & -2.50 x_{84}\\
 x_{86}   &  2.0 & -2.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{87}   &  -2.06779038336e-15 & +  0.00 x_{96} & -0.00 x_{97} & -0.00 x_{3} & -0.00 x_{106} & +  1.00 x_{84}\\
 x_{11}   &  2.0 & -8.00 x_{96} & +  3.00 x_{97} & +  0.00 x_{3} & +  7.00 x_{106} & +  0.00 x_{84}\\
 x_{89}   &  0.5 & +  0.50 x_{96} & +  2.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & -0.75 x_{84}\\
 x_{90}   &  2.5 & +  0.50 x_{96} & + 10.00 x_{97} & -1.75 x_{3} & +  1.00 x_{106} & -4.75 x_{84}\\
 x_{91}   &  1.0 & -3.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{92}   &  1.5 & -2.50 x_{96} & +  3.00 x_{97} & -1.25 x_{3} & +  5.00 x_{106} & -1.25 x_{84}\\
 x_{93}   &  1.5 & -2.50 x_{96} & +  3.00 x_{97} & -0.25 x_{3} & +  4.00 x_{106} & -1.25 x_{84}\\
 x_{94}   &  0.5 & +  1.50 x_{96} & +  1.00 x_{97} & -1.25 x_{3} & -0.00 x_{106} & -0.25 x_{84}\\
 x_{95}   &  2.0 & -0.00 x_{96} & +  9.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -4.00 x_{84}\\
 x_{10}   &  0.5 & +  9.50 x_{96} & +  8.00 x_{97} & -2.25 x_{3} & -8.00 x_{106} & -5.25 x_{84}\\
 x_{88}   &  2.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{98}   &  5.46784839628e-15 & +  1.00 x_{96} & +  0.00 x_{97} & -0.00 x_{3} & +  0.00 x_{106} & -0.00 x_{84}\\
 x_{99}   &  1.0 & +  1.00 x_{96} & +  1.00 x_{97} & -1.00 x_{3} & -0.00 x_{106} & -0.00 x_{84}\\
 x_{100}   &  1.0 & -2.00 x_{96} & +  3.00 x_{97} & -0.50 x_{3} & +  4.00 x_{106} & -1.50 x_{84}\\
 x_{101}   &  2.5 & +  1.50 x_{96} & +  8.00 x_{97} & -2.25 x_{3} & +  0.00 x_{106} & -3.25 x_{84}\\
 x_{102}   &  2.0 & -2.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{103}   &  -6.24500451351e-17 & +  1.00 x_{96} & +  0.00 x_{97} & -0.00 x_{3} & -0.00 x_{106} & -0.00 x_{84}\\
 x_{104}   &  1.0 & +  1.00 x_{96} & +  1.00 x_{97} & -1.00 x_{3} & -0.00 x_{106} & -0.00 x_{84}\\
 x_{105}   &  2.5 & -0.50 x_{96} & +  8.00 x_{97} & -2.25 x_{3} & +  3.00 x_{106} & -3.25 x_{84}\\
 x_{83}   &  1.0 & -3.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{107}   &  0.5 & +  0.50 x_{96} & +  1.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  0.25 x_{84}\\
 x_{108}   &  3.0 & +  2.00 x_{96} & +  9.00 x_{97} & -2.50 x_{3} & +  0.00 x_{106} & -3.50 x_{84}\\
 x_{109}   &  -3.12944115066e-15 & +  0.00 x_{96} & +  1.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & +  0.50 x_{84}\\
 x_{110}   &  2.0 & -2.00 x_{96} & +  2.00 x_{97} & -1.00 x_{3} & +  5.00 x_{106} & -1.00 x_{84}\\
 x_{111}   &  0.5 & -0.50 x_{96} & +  1.00 x_{97} & -0.25 x_{3} & +  1.00 x_{106} & -0.25 x_{84}\\
 x_{112}   &  2.5 & +  0.50 x_{96} & + 10.00 x_{97} & -1.75 x_{3} & +  1.00 x_{106} & -4.75 x_{84}\\
 x_{113}   &  2.0 & +  1.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  1.00 x_{106} & -5.00 x_{84}\\
 x_{114}   &  0.5 & +  0.50 x_{96} & +  1.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  0.25 x_{84}\\
 x_{115}   &  2.0 & -2.00 x_{96} & +  3.00 x_{97} & -1.50 x_{3} & +  4.00 x_{106} & -0.50 x_{84}\\
 x_{116}   &  -5.49560397189e-15 & +  0.00 x_{96} & -0.00 x_{97} & +  0.00 x_{3} & +  1.00 x_{106} & +  0.00 x_{84}\\
 x_{117}   &  2.5 & +  0.50 x_{96} & +  9.00 x_{97} & -2.25 x_{3} & +  2.00 x_{106} & -4.25 x_{84}\\
 x_{118}   &  3.0 & +  2.00 x_{96} & +  9.00 x_{97} & -2.50 x_{3} & +  0.00 x_{106} & -3.50 x_{84}\\
 x_{119}   &  3.0 & +  2.00 x_{96} & +  9.00 x_{97} & -2.50 x_{3} & +  0.00 x_{106} & -3.50 x_{84}\\
 x_{120}   &  2.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{121}   &  0.5 & +  0.50 x_{96} & +  1.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & +  0.25 x_{84}\\
 x_{122}   &  -2.80331313718e-15 & +  0.00 x_{96} & -0.00 x_{97} & +  0.00 x_{3} & +  1.00 x_{106} & -0.00 x_{84}\\
 x_{123}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.50 x_{3} & +  2.00 x_{106} & -4.50 x_{84}\\
 x_{124}   &  1.0 & -0.00 x_{96} & +  3.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & -0.50 x_{84}\\
 x_{125}   &  4.0 & -2.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  5.00 x_{106} & -3.50 x_{84}\\
 x_{126}   &  -2.45636844198e-15 & +  0.00 x_{96} & +  1.00 x_{97} & -0.50 x_{3} & -0.00 x_{106} & +  0.50 x_{84}\\
 x_{127}   &  1.0 & +  1.00 x_{96} & +  3.00 x_{97} & -1.00 x_{3} & +  0.00 x_{106} & -1.00 x_{84}\\
 x_{128}   &  3.0 & -1.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  4.00 x_{106} & -5.00 x_{84}\\
 x_{129}   &  1.5 & +  0.50 x_{96} & +  3.00 x_{97} & -1.25 x_{3} & +  1.00 x_{106} & -1.25 x_{84}\\
 x_{130}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{131}   &  1.0 & +  1.00 x_{96} & +  0.00 x_{97} & -1.00 x_{3} & -0.00 x_{106} & +  1.00 x_{84}\\
 x_{132}   &  2.5 & -2.50 x_{96} & +  6.00 x_{97} & -1.75 x_{3} & +  5.00 x_{106} & -2.75 x_{84}\\
 x_{133}   &  4.0 & -1.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  4.00 x_{106} & -3.50 x_{84}\\
 x_{134}   &  0.5 & +  0.50 x_{96} & +  4.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & -1.75 x_{84}\\
 x_{135}   &  3.0 & -0.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  3.00 x_{106} & -3.50 x_{84}\\
 x_{136}   &  1.0 & -0.00 x_{96} & +  3.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & -0.50 x_{84}\\
 x_{137}   &  2.22044604925e-16 & +  0.00 x_{96} & +  0.00 x_{97} & +  0.00 x_{3} & -0.00 x_{106} & +  1.00 x_{84}\\
 x_{138}   &  1.0 & +  1.00 x_{96} & +  3.00 x_{97} & -1.50 x_{3} & +  0.00 x_{106} & -0.50 x_{84}\\
 x_{139}   &  3.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  3.00 x_{106} & -5.00 x_{84}\\
 x_{140}   &  3.0 & -0.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  3.00 x_{106} & -3.50 x_{84}\\
 x_{141}   &  1.0 & -0.00 x_{96} & +  3.00 x_{97} & -0.50 x_{3} & +  0.00 x_{106} & -0.50 x_{84}\\
 x_{142}   &  2.0 & -0.00 x_{96} & +  6.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -2.00 x_{84}\\
 x_{143}   &  3.0 & -0.00 x_{96} & +  9.00 x_{97} & -3.50 x_{3} & +  3.00 x_{106} & -3.50 x_{84}\\
 x_{144}   &  0.5 & +  0.50 x_{96} & +  3.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & -0.75 x_{84}\\
 x_{145}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{146}   &  1.0 & +  1.00 x_{96} & +  3.00 x_{97} & -1.00 x_{3} & +  0.00 x_{106} & -1.00 x_{84}\\
 x_{147}   &  1.5 & -1.50 x_{96} & +  4.00 x_{97} & -1.25 x_{3} & +  3.00 x_{106} & -1.25 x_{84}\\
 x_{148}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.50 x_{3} & +  2.00 x_{106} & -4.50 x_{84}\\
 x_{149}   &  1.0 & +  1.00 x_{96} & +  3.00 x_{97} & -1.00 x_{3} & +  0.00 x_{106} & -1.00 x_{84}\\
 x_{150}   &  2.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{151}   &  0.5 & +  0.50 x_{96} & +  3.00 x_{97} & -0.75 x_{3} & +  0.00 x_{106} & -0.75 x_{84}\\
 x_{152}   &  2.0 & +  1.00 x_{96} & +  6.00 x_{97} & -2.00 x_{3} & +  1.00 x_{106} & -3.00 x_{84}\\
 x_{153}   &  -6.75848266241e-15 & +  1.00 x_{96} & -0.00 x_{97} & -0.00 x_{3} & -0.00 x_{106} & -0.00 x_{84}\\
 x_{154}   &  2.0 & -0.00 x_{96} & + 10.00 x_{97} & -2.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{155}   &  2.5 & -1.50 x_{96} & +  5.00 x_{97} & -2.25 x_{3} & +  5.00 x_{106} & -2.25 x_{84}\\
 x_{156}   &  3.0 & +  1.00 x_{96} & + 10.00 x_{97} & -3.00 x_{3} & +  2.00 x_{106} & -5.00 x_{84}\\
 x_{157}   &  2.0 & -1.00 x_{96} & +  5.00 x_{97} & -2.50 x_{3} & +  3.00 x_{106} & -1.50 x_{84}\\
 x_{158}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{159}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  0.00 x_{106} & +  0.75 x_{84}\\
 x_{160}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{161}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{162}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{163}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{164}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{165}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{166}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  0.00 x_{106} & +  0.75 x_{84}\\
 x_{167}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{168}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{169}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{170}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  0.00 x_{106} & +  0.75 x_{84}\\
 x_{171}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{172}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{173}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{174}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{175}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  0.00 x_{106} & +  0.75 x_{84}\\
 x_{176}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  0.00 x_{106} & +  0.75 x_{84}\\
 x_{177}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{178}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{179}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{180}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{181}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{182}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{183}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{184}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{185}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{186}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{187}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{188}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{189}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{190}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{191}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{192}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{193}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{194}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{195}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{196}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{197}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{198}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{199}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{200}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{201}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  0.00 x_{106} & +  0.25 x_{84}\\
 x_{202}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{203}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{204}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{205}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{206}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{207}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{208}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{209}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{210}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{211}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{212}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{213}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{214}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{215}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
 x_{216}   &  -0.5 & +  0.50 x_{96} & +  1.00 x_{97} & +  0.75 x_{3} & +  1.00 x_{106} & +  0.75 x_{84}\\
 x_{217}   &  -0.5 & +  0.50 x_{96} & +  0.00 x_{97} & +  0.25 x_{3} & +  1.00 x_{106} & +  0.25 x_{84}\\
\hline
z    &  5.0 & +  0.00 x_{96} & -0.00 x_{97} & -3.50 x_{3} & -0.00 x_{106} & -0.50 x_{84}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.0 & +  5.00 x_{159} & +  0.33 x_{46} & -3.00 x_{3} & +  1.00 x_{2} & -6.00 x_{84}\\
 x_{1}   &  1.0 & -1.00 x_{159} & +  0.00 x_{46} & +  1.00 x_{3} & +  0.00 x_{2} & +  1.00 x_{84}\\
 x_{9}   &  23.0 & + 28.00 x_{159} & +  4.00 x_{46} & -9.50 x_{3} & -4.00 x_{2} & -35.50 x_{84}\\
 x_{39}   &  3.28792548743e-13 & -3.00 x_{159} & -0.33 x_{46} & +  1.50 x_{3} & +  0.00 x_{2} & +  4.50 x_{84}\\
 x_{78}   &  6.49480469406e-15 & -1.00 x_{159} & +  0.00 x_{46} & -0.00 x_{3} & +  0.00 x_{2} & +  2.00 x_{84}\\
 x_{68}   &  7.0 & + 29.00 x_{159} & +  2.00 x_{46} & -25.00 x_{3} & +  3.00 x_{2} & -32.00 x_{84}\\
 x_{97}   &  2.0 & +  6.00 x_{159} & +  0.33 x_{46} & -4.50 x_{3} & -0.00 x_{2} & -6.50 x_{84}\\
 x_{13}   &  12.0 & + 45.00 x_{159} & +  3.67 x_{46} & -35.00 x_{3} & +  4.00 x_{2} & -53.00 x_{84}\\
 x_{14}   &  9.0 & + 51.00 x_{159} & +  3.00 x_{46} & -41.00 x_{3} & +  7.00 x_{2} & -59.00 x_{84}\\
 x_{15}   &  26.0 & + 64.00 x_{159} & +  4.67 x_{46} & -50.50 x_{3} & -0.00 x_{2} & -74.50 x_{84}\\
 x_{24}   &  23.0 & + 57.00 x_{159} & +  3.00 x_{46} & -44.50 x_{3} & -1.00 x_{2} & -65.50 x_{84}\\
 x_{12}   &  0.999999999999 & -1.00 x_{159} & +  1.33 x_{46} & +  0.50 x_{3} & -0.00 x_{2} & +  0.50 x_{84}\\
 x_{18}   &  12.0 & + 42.00 x_{159} & +  3.33 x_{46} & -33.00 x_{3} & +  3.00 x_{2} & -49.00 x_{84}\\
 x_{16}   &  7.0 & + 46.00 x_{159} & +  3.00 x_{46} & -36.00 x_{3} & +  6.00 x_{2} & -54.00 x_{84}\\
 x_{20}   &  25.0 & + 60.00 x_{159} & +  4.33 x_{46} & -47.50 x_{3} & -1.00 x_{2} & -69.50 x_{84}\\
 x_{21}   &  7.0 & + 46.00 x_{159} & +  3.00 x_{46} & -36.00 x_{3} & +  6.00 x_{2} & -54.00 x_{84}\\
 x_{22}   &  0.999999999999 & -0.00 x_{159} & +  1.33 x_{46} & -0.50 x_{3} & +  0.00 x_{2} & -0.50 x_{84}\\
 x_{23}   &  15.0 & + 11.00 x_{159} & +  0.33 x_{46} & -10.00 x_{3} & -5.00 x_{2} & -11.00 x_{84}\\
 x_{8}   &  7.53619389116e-13 & -5.00 x_{159} & -0.67 x_{46} & +  2.00 x_{3} & +  0.00 x_{2} & +  7.00 x_{84}\\
 x_{5}   &  1.0 & +  1.00 x_{159} & +  0.33 x_{46} & -0.50 x_{3} & -0.00 x_{2} & -1.50 x_{84}\\
 x_{25}   &  7.0 & + 43.00 x_{159} & +  2.67 x_{46} & -35.50 x_{3} & +  6.00 x_{2} & -49.50 x_{84}\\
 x_{17}   &  0.999999999999 & -0.00 x_{159} & +  1.33 x_{46} & -0.50 x_{3} & -0.00 x_{2} & -0.50 x_{84}\\
 x_{28}   &  13.0 & + 36.00 x_{159} & +  2.67 x_{46} & -30.50 x_{3} & +  2.00 x_{2} & -40.50 x_{84}\\
 x_{26}   &  7.0 & + 38.00 x_{159} & +  2.33 x_{46} & -31.50 x_{3} & +  5.00 x_{2} & -43.50 x_{84}\\
 x_{27}   &  0.999999999999 & +  1.00 x_{159} & +  1.33 x_{46} & -1.50 x_{3} & -0.00 x_{2} & -1.50 x_{84}\\
 x_{29}   &  8.0 & + 38.00 x_{159} & +  2.00 x_{46} & -32.50 x_{3} & +  5.00 x_{2} & -42.50 x_{84}\\
 x_{32}   &  2.0 & +  2.00 x_{159} & +  1.33 x_{46} & -2.50 x_{3} & -0.00 x_{2} & -2.50 x_{84}\\
 x_{33}   &  16.0 & +  9.00 x_{159} & +  0.33 x_{46} & -8.50 x_{3} & -6.00 x_{2} & -8.50 x_{84}\\
 x_{34}   &  6.0 & + 35.00 x_{159} & +  2.33 x_{46} & -29.00 x_{3} & +  5.00 x_{2} & -40.00 x_{84}\\
 x_{35}   &  9.0 & + 38.00 x_{159} & +  2.67 x_{46} & -31.50 x_{3} & +  4.00 x_{2} & -43.50 x_{84}\\
 x_{31}   &  7.0 & + 35.00 x_{159} & +  2.33 x_{46} & -29.00 x_{3} & +  4.00 x_{2} & -40.00 x_{84}\\
 x_{37}   &  0.999999999999 & +  1.00 x_{159} & +  1.33 x_{46} & -1.50 x_{3} & -0.00 x_{2} & -1.50 x_{84}\\
 x_{38}   &  14.0 & + 12.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & -5.00 x_{2} & -12.50 x_{84}\\
 x_{106}   &  1.0 & +  7.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{40}   &  8.0 & + 37.00 x_{159} & +  2.33 x_{46} & -32.50 x_{3} & +  5.00 x_{2} & -41.50 x_{84}\\
 x_{41}   &  4.58133531112e-13 & -3.00 x_{159} & -0.33 x_{46} & +  1.50 x_{3} & +  0.00 x_{2} & +  4.50 x_{84}\\
 x_{42}   &  11.0 & + 38.00 x_{159} & +  3.00 x_{46} & -31.50 x_{3} & +  3.00 x_{2} & -43.50 x_{84}\\
 x_{43}   &  9.0 & + 40.00 x_{159} & +  2.33 x_{46} & -34.00 x_{3} & +  5.00 x_{2} & -45.00 x_{84}\\
 x_{44}   &  24.0 & + 51.00 x_{159} & +  2.67 x_{46} & -41.50 x_{3} & -2.00 x_{2} & -57.50 x_{84}\\
 x_{45}   &  7.0 & + 30.00 x_{159} & +  2.00 x_{46} & -25.00 x_{3} & +  3.00 x_{2} & -34.00 x_{84}\\
 x_{11}   &  7.0 & + 51.00 x_{159} & +  3.33 x_{46} & -40.00 x_{3} & +  7.00 x_{2} & -60.00 x_{84}\\
 x_{36}   &  7.0 & + 40.00 x_{159} & +  2.67 x_{46} & -33.00 x_{3} & +  5.00 x_{2} & -46.00 x_{84}\\
 x_{48}   &  8.0 & + 31.00 x_{159} & +  3.00 x_{46} & -26.50 x_{3} & +  3.00 x_{2} & -34.50 x_{84}\\
 x_{49}   &  20.0 & + 45.00 x_{159} & +  3.67 x_{46} & -38.00 x_{3} & -1.00 x_{2} & -50.00 x_{84}\\
 x_{50}   &  7.0 & + 17.00 x_{159} & +  1.33 x_{46} & -14.50 x_{3} & -0.00 x_{2} & -18.50 x_{84}\\
 x_{30}   &  -6.13536998983e-13 & -1.00 x_{159} & +  1.00 x_{46} & +  0.00 x_{3} & +  0.00 x_{2} & +  1.00 x_{84}\\
 x_{52}   &  18.0 & + 39.00 x_{159} & +  3.00 x_{46} & -33.00 x_{3} & -1.00 x_{2} & -43.00 x_{84}\\
 x_{53}   &  6.0 & + 19.00 x_{159} & +  1.67 x_{46} & -16.00 x_{3} & +  1.00 x_{2} & -21.00 x_{84}\\
 x_{54}   &  18.0 & + 35.00 x_{159} & +  3.00 x_{46} & -30.50 x_{3} & -2.00 x_{2} & -38.50 x_{84}\\
 x_{47}   &  6.0 & + 29.00 x_{159} & +  2.33 x_{46} & -24.00 x_{3} & +  3.00 x_{2} & -33.00 x_{84}\\
 x_{56}   &  -1.19654286479e-13 & -1.00 x_{159} & +  0.67 x_{46} & +  0.50 x_{3} & -0.00 x_{2} & +  1.50 x_{84}\\
 x_{57}   &  17.0 & + 42.00 x_{159} & +  3.33 x_{46} & -35.00 x_{3} & -0.00 x_{2} & -47.00 x_{84}\\
 x_{55}   &  7.0 & + 22.00 x_{159} & +  1.67 x_{46} & -18.50 x_{3} & +  1.00 x_{2} & -24.50 x_{84}\\
 x_{59}   &  18.0 & + 39.00 x_{159} & +  3.33 x_{46} & -33.50 x_{3} & -1.00 x_{2} & -43.50 x_{84}\\
 x_{60}   &  7.0 & + 27.00 x_{159} & +  2.00 x_{46} & -22.50 x_{3} & +  2.00 x_{2} & -30.50 x_{84}\\
 x_{61}   &  20.0 & + 45.00 x_{159} & +  3.67 x_{46} & -38.00 x_{3} & -1.00 x_{2} & -50.00 x_{84}\\
 x_{62}   &  8.44324610227e-14 & -2.00 x_{159} & +  0.00 x_{46} & +  1.00 x_{3} & +  0.00 x_{2} & +  3.00 x_{84}\\
 x_{63}   &  19.0 & + 40.00 x_{159} & +  3.33 x_{46} & -34.00 x_{3} & -1.00 x_{2} & -44.00 x_{84}\\
 x_{64}   &  6.0 & + 24.00 x_{159} & +  2.00 x_{46} & -20.00 x_{3} & +  2.00 x_{2} & -27.00 x_{84}\\
 x_{65}   &  7.0 & + 27.00 x_{159} & +  2.00 x_{46} & -22.50 x_{3} & +  2.00 x_{2} & -30.50 x_{84}\\
 x_{66}   &  20.0 & + 45.00 x_{159} & +  3.67 x_{46} & -38.00 x_{3} & -1.00 x_{2} & -50.00 x_{84}\\
 x_{67}   &  9.0 & +  7.00 x_{159} & +  1.00 x_{46} & -6.50 x_{3} & -3.00 x_{2} & -6.50 x_{84}\\
 x_{58}   &  7.0 & + 27.00 x_{159} & +  2.00 x_{46} & -22.50 x_{3} & +  2.00 x_{2} & -30.50 x_{84}\\
 x_{69}   &  20.0 & + 44.00 x_{159} & +  3.67 x_{46} & -37.00 x_{3} & -1.00 x_{2} & -49.00 x_{84}\\
 x_{70}   &  6.0 & + 29.00 x_{159} & +  2.33 x_{46} & -24.00 x_{3} & +  3.00 x_{2} & -33.00 x_{84}\\
 x_{71}   &  19.0 & + 43.00 x_{159} & +  3.67 x_{46} & -36.00 x_{3} & -1.00 x_{2} & -48.00 x_{84}\\
 x_{72}   &  12.0 & + 12.00 x_{159} & +  0.67 x_{46} & -11.00 x_{3} & -4.00 x_{2} & -12.00 x_{84}\\
 x_{73}   &  8.0 & + 31.00 x_{159} & +  3.00 x_{46} & -26.50 x_{3} & +  3.00 x_{2} & -34.50 x_{84}\\
 x_{74}   &  19.0 & + 43.00 x_{159} & +  3.67 x_{46} & -36.00 x_{3} & -1.00 x_{2} & -48.00 x_{84}\\
 x_{75}   &  7.0 & + 30.00 x_{159} & +  2.00 x_{46} & -25.00 x_{3} & +  3.00 x_{2} & -34.00 x_{84}\\
 x_{76}   &  20.0 & + 44.00 x_{159} & +  3.67 x_{46} & -37.00 x_{3} & -1.00 x_{2} & -49.00 x_{84}\\
 x_{77}   &  10.0 & + 13.00 x_{159} & +  1.33 x_{46} & -11.50 x_{3} & -2.00 x_{2} & -13.50 x_{84}\\
 x_{51}   &  -4.95797847222e-13 & -0.00 x_{159} & +  0.67 x_{46} & -0.50 x_{3} & -0.00 x_{2} & +  0.50 x_{84}\\
 x_{79}   &  7.0 & + 30.00 x_{159} & +  2.00 x_{46} & -25.00 x_{3} & +  3.00 x_{2} & -34.00 x_{84}\\
 x_{80}   &  18.0 & + 43.00 x_{159} & +  3.33 x_{46} & -36.00 x_{3} & -0.00 x_{2} & -48.00 x_{84}\\
 x_{81}   &  6.0 & + 27.00 x_{159} & +  2.00 x_{46} & -22.50 x_{3} & +  3.00 x_{2} & -30.50 x_{84}\\
 x_{82}   &  11.0 & +  8.00 x_{159} & +  1.00 x_{46} & -7.50 x_{3} & -4.00 x_{2} & -7.50 x_{84}\\
 x_{19}   &  8.0 & + 46.00 x_{159} & +  2.67 x_{46} & -37.00 x_{3} & +  6.00 x_{2} & -53.00 x_{84}\\
 x_{7}   &  0.999999999998 & -2.00 x_{159} & +  1.33 x_{46} & +  1.50 x_{3} & +  0.00 x_{2} & +  1.50 x_{84}\\
 x_{85}   &  15.0 & + 51.00 x_{159} & +  2.67 x_{46} & -40.50 x_{3} & +  3.00 x_{2} & -57.50 x_{84}\\
 x_{86}   &  9.0 & + 43.00 x_{159} & +  2.33 x_{46} & -34.50 x_{3} & +  5.00 x_{2} & -48.50 x_{84}\\
 x_{87}   &  -5.34294830601e-15 & -0.00 x_{159} & -0.00 x_{46} & +  0.00 x_{3} & -0.00 x_{2} & +  1.00 x_{84}\\
 x_{6}   &  8.0 & + 56.00 x_{159} & +  3.67 x_{46} & -44.00 x_{3} & +  8.00 x_{2} & -66.00 x_{84}\\
 x_{89}   &  5.0 & + 13.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & -0.00 x_{2} & -14.50 x_{84}\\
 x_{90}   &  24.0 & + 68.00 x_{159} & +  3.67 x_{46} & -53.00 x_{3} & +  1.00 x_{2} & -78.00 x_{84}\\
 x_{91}   &  7.0 & + 41.00 x_{159} & +  2.33 x_{46} & -33.00 x_{3} & +  5.00 x_{2} & -47.00 x_{84}\\
 x_{92}   &  10.0 & + 48.00 x_{159} & +  2.67 x_{46} & -38.50 x_{3} & +  5.00 x_{2} & -54.50 x_{84}\\
 x_{93}   &  9.0 & + 41.00 x_{159} & +  2.33 x_{46} & -32.00 x_{3} & +  4.00 x_{2} & -47.00 x_{84}\\
 x_{94}   &  4.0 & +  9.00 x_{159} & +  0.33 x_{46} & -8.00 x_{3} & -0.00 x_{2} & -9.00 x_{84}\\
 x_{95}   &  22.0 & + 68.00 x_{159} & +  3.67 x_{46} & -53.50 x_{3} & +  2.00 x_{2} & -77.50 x_{84}\\
 x_{10}   &  18.0 & + 11.00 x_{159} & -0.00 x_{46} & -8.50 x_{3} & -8.00 x_{2} & -11.50 x_{84}\\
 x_{88}   &  24.0 & + 74.00 x_{159} & +  4.00 x_{46} & -58.00 x_{3} & +  2.00 x_{2} & -85.00 x_{84}\\
 x_{98}   &  1.0 & +  2.00 x_{159} & -0.00 x_{46} & -1.50 x_{3} & -0.00 x_{2} & -1.50 x_{84}\\
 x_{99}   &  4.0 & +  8.00 x_{159} & +  0.33 x_{46} & -7.00 x_{3} & -0.00 x_{2} & -8.00 x_{84}\\
 x_{100}   &  9.0 & + 42.00 x_{159} & +  2.33 x_{46} & -33.00 x_{3} & +  4.00 x_{2} & -48.00 x_{84}\\
 x_{101}   &  20.0 & + 51.00 x_{159} & +  2.67 x_{46} & -40.50 x_{3} & -0.00 x_{2} & -57.50 x_{84}\\
 x_{102}   &  9.0 & + 43.00 x_{159} & +  2.33 x_{46} & -34.50 x_{3} & +  5.00 x_{2} & -48.50 x_{84}\\
 x_{103}   &  1.0 & +  2.00 x_{159} & -0.00 x_{46} & -1.50 x_{3} & -0.00 x_{2} & -1.50 x_{84}\\
 x_{104}   &  4.0 & +  8.00 x_{159} & +  0.33 x_{46} & -7.00 x_{3} & -0.00 x_{2} & -8.00 x_{84}\\
 x_{105}   &  21.0 & + 68.00 x_{159} & +  3.67 x_{46} & -54.00 x_{3} & +  3.00 x_{2} & -77.00 x_{84}\\
 x_{83}   &  7.0 & + 41.00 x_{159} & +  2.33 x_{46} & -33.00 x_{3} & +  5.00 x_{2} & -47.00 x_{84}\\
 x_{107}   &  3.0 & +  7.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & -0.00 x_{2} & -7.00 x_{84}\\
 x_{108}   &  23.0 & + 58.00 x_{159} & +  3.00 x_{46} & -46.00 x_{3} & -0.00 x_{2} & -65.00 x_{84}\\
 x_{109}   &  2.0 & +  6.00 x_{159} & +  0.33 x_{46} & -5.00 x_{3} & -0.00 x_{2} & -6.00 x_{84}\\
 x_{110}   &  9.0 & + 43.00 x_{159} & +  2.33 x_{46} & -34.50 x_{3} & +  5.00 x_{2} & -48.50 x_{84}\\
 x_{111}   &  3.0 & + 12.00 x_{159} & +  0.67 x_{46} & -9.50 x_{3} & +  1.00 x_{2} & -13.50 x_{84}\\
 x_{112}   &  24.0 & + 68.00 x_{159} & +  3.67 x_{46} & -53.00 x_{3} & +  1.00 x_{2} & -78.00 x_{84}\\
 x_{113}   &  24.0 & + 69.00 x_{159} & +  3.67 x_{46} & -54.00 x_{3} & +  1.00 x_{2} & -79.00 x_{84}\\
 x_{114}   &  3.0 & +  7.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & -0.00 x_{2} & -7.00 x_{84}\\
 x_{115}   &  10.0 & + 42.00 x_{159} & +  2.33 x_{46} & -34.00 x_{3} & +  4.00 x_{2} & -47.00 x_{84}\\
 x_{116}   &  1.0 & +  7.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{117}   &  23.0 & + 69.00 x_{159} & +  3.67 x_{46} & -54.50 x_{3} & +  2.00 x_{2} & -78.50 x_{84}\\
 x_{118}   &  23.0 & + 58.00 x_{159} & +  3.00 x_{46} & -46.00 x_{3} & -0.00 x_{2} & -65.00 x_{84}\\
 x_{119}   &  23.0 & + 58.00 x_{159} & +  3.00 x_{46} & -46.00 x_{3} & -0.00 x_{2} & -65.00 x_{84}\\
 x_{120}   &  24.0 & + 74.00 x_{159} & +  4.00 x_{46} & -58.00 x_{3} & +  2.00 x_{2} & -85.00 x_{84}\\
 x_{121}   &  3.0 & +  7.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & -0.00 x_{2} & -7.00 x_{84}\\
 x_{122}   &  1.0 & +  7.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{123}   &  26.0 & + 76.00 x_{159} & +  4.00 x_{46} & -61.00 x_{3} & +  2.00 x_{2} & -86.00 x_{84}\\
 x_{124}   &  7.0 & + 18.00 x_{159} & +  1.00 x_{46} & -14.00 x_{3} & -0.00 x_{2} & -20.00 x_{84}\\
 x_{125}   &  25.0 & + 85.00 x_{159} & +  4.67 x_{46} & -68.50 x_{3} & +  5.00 x_{2} & -96.50 x_{84}\\
 x_{126}   &  2.0 & +  6.00 x_{159} & +  0.33 x_{46} & -5.00 x_{3} & -0.00 x_{2} & -6.00 x_{84}\\
 x_{127}   &  8.0 & + 20.00 x_{159} & +  1.00 x_{46} & -16.00 x_{3} & -0.00 x_{2} & -22.00 x_{84}\\
 x_{128}   &  26.0 & + 86.00 x_{159} & +  4.67 x_{46} & -67.50 x_{3} & +  4.00 x_{2} & -98.50 x_{84}\\
 x_{129}   &  9.0 & + 26.00 x_{159} & +  1.33 x_{46} & -21.00 x_{3} & +  1.00 x_{2} & -29.00 x_{84}\\
 x_{130}   &  26.0 & + 76.00 x_{159} & +  4.00 x_{46} & -60.50 x_{3} & +  2.00 x_{2} & -86.50 x_{84}\\
 x_{131}   &  2.0 & +  2.00 x_{159} & -0.00 x_{46} & -2.50 x_{3} & -0.00 x_{2} & -0.50 x_{84}\\
 x_{132}   &  17.0 & + 66.00 x_{159} & +  3.67 x_{46} & -52.50 x_{3} & +  5.00 x_{2} & -75.50 x_{84}\\
 x_{133}   &  25.0 & + 80.00 x_{159} & +  4.33 x_{46} & -64.50 x_{3} & +  4.00 x_{2} & -90.50 x_{84}\\
 x_{134}   &  9.0 & + 25.00 x_{159} & +  1.33 x_{46} & -19.50 x_{3} & -0.00 x_{2} & -28.50 x_{84}\\
 x_{135}   &  24.0 & + 75.00 x_{159} & +  4.00 x_{46} & -60.50 x_{3} & +  3.00 x_{2} & -84.50 x_{84}\\
 x_{136}   &  7.0 & + 18.00 x_{159} & +  1.00 x_{46} & -14.00 x_{3} & -0.00 x_{2} & -20.00 x_{84}\\
 x_{137}   &  7.6327832943e-16 & -0.00 x_{159} & -0.00 x_{46} & +  0.00 x_{3} & -0.00 x_{2} & +  1.00 x_{84}\\
 x_{138}   &  8.0 & + 20.00 x_{159} & +  1.00 x_{46} & -16.50 x_{3} & -0.00 x_{2} & -21.50 x_{84}\\
 x_{139}   &  26.0 & + 81.00 x_{159} & +  4.33 x_{46} & -63.50 x_{3} & +  3.00 x_{2} & -92.50 x_{84}\\
 x_{140}   &  24.0 & + 75.00 x_{159} & +  4.00 x_{46} & -60.50 x_{3} & +  3.00 x_{2} & -84.50 x_{84}\\
 x_{141}   &  7.0 & + 18.00 x_{159} & +  1.00 x_{46} & -14.00 x_{3} & -0.00 x_{2} & -20.00 x_{84}\\
 x_{142}   &  16.0 & + 50.00 x_{159} & +  2.67 x_{46} & -40.00 x_{3} & +  2.00 x_{2} & -56.00 x_{84}\\
 x_{143}   &  24.0 & + 75.00 x_{159} & +  4.00 x_{46} & -60.50 x_{3} & +  3.00 x_{2} & -84.50 x_{84}\\
 x_{144}   &  7.0 & + 19.00 x_{159} & +  1.00 x_{46} & -15.00 x_{3} & -0.00 x_{2} & -21.00 x_{84}\\
 x_{145}   &  26.0 & + 76.00 x_{159} & +  4.00 x_{46} & -60.50 x_{3} & +  2.00 x_{2} & -86.50 x_{84}\\
 x_{146}   &  8.0 & + 20.00 x_{159} & +  1.00 x_{46} & -16.00 x_{3} & -0.00 x_{2} & -22.00 x_{84}\\
 x_{147}   &  11.0 & + 42.00 x_{159} & +  2.33 x_{46} & -33.50 x_{3} & +  3.00 x_{2} & -47.50 x_{84}\\
 x_{148}   &  26.0 & + 76.00 x_{159} & +  4.00 x_{46} & -61.00 x_{3} & +  2.00 x_{2} & -86.00 x_{84}\\
 x_{149}   &  8.0 & + 20.00 x_{159} & +  1.00 x_{46} & -16.00 x_{3} & -0.00 x_{2} & -22.00 x_{84}\\
 x_{150}   &  24.0 & + 74.00 x_{159} & +  4.00 x_{46} & -58.00 x_{3} & +  2.00 x_{2} & -85.00 x_{84}\\
 x_{151}   &  7.0 & + 19.00 x_{159} & +  1.00 x_{46} & -15.00 x_{3} & -0.00 x_{2} & -21.00 x_{84}\\
 x_{152}   &  16.0 & + 45.00 x_{159} & +  2.33 x_{46} & -36.00 x_{3} & +  1.00 x_{2} & -51.00 x_{84}\\
 x_{153}   &  1.0 & +  2.00 x_{159} & -0.00 x_{46} & -1.50 x_{3} & -0.00 x_{2} & -1.50 x_{84}\\
 x_{154}   &  24.0 & + 74.00 x_{159} & +  4.00 x_{46} & -58.00 x_{3} & +  2.00 x_{2} & -85.00 x_{84}\\
 x_{155}   &  16.0 & + 62.00 x_{159} & +  3.33 x_{46} & -50.00 x_{3} & +  5.00 x_{2} & -70.00 x_{84}\\
 x_{156}   &  26.0 & + 76.00 x_{159} & +  4.00 x_{46} & -60.50 x_{3} & +  2.00 x_{2} & -86.50 x_{84}\\
 x_{157}   &  14.0 & + 49.00 x_{159} & +  2.67 x_{46} & -40.00 x_{3} & +  3.00 x_{2} & -55.00 x_{84}\\
 x_{96}   &  1.0 & +  2.00 x_{159} & -0.00 x_{46} & -1.50 x_{3} & -0.00 x_{2} & -1.50 x_{84}\\
 x_{158}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{160}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{161}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{162}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & +  1.00 x_{2} & -8.00 x_{84}\\
 x_{163}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & +  1.00 x_{2} & -8.00 x_{84}\\
 x_{164}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{165}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{166}   &  2.0 & +  7.00 x_{159} & +  0.33 x_{46} & -4.50 x_{3} & -0.00 x_{2} & -6.50 x_{84}\\
 x_{167}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{168}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{169}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{170}   &  2.94972379855e-13 & +  1.00 x_{159} & +  0.00 x_{46} & -0.00 x_{3} & -0.00 x_{2} & -0.00 x_{84}\\
 x_{171}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{172}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{173}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{174}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{175}   &  6.98191504611e-14 & +  1.00 x_{159} & +  0.00 x_{46} & -0.00 x_{3} & -0.00 x_{2} & -0.00 x_{84}\\
 x_{176}   &  2.0 & +  7.00 x_{159} & +  0.33 x_{46} & -4.50 x_{3} & -0.00 x_{2} & -6.50 x_{84}\\
 x_{177}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{178}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{179}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{180}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{181}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{182}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{183}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{184}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{185}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{186}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{187}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{188}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{189}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{190}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{191}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{192}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{193}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{194}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{195}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{196}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{197}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{198}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{199}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & +  1.00 x_{2} & -8.00 x_{84}\\
 x_{200}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & +  1.00 x_{2} & -8.00 x_{84}\\
 x_{201}   &  2.0 & +  7.00 x_{159} & +  0.33 x_{46} & -5.00 x_{3} & -0.00 x_{2} & -7.00 x_{84}\\
 x_{202}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{203}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{204}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{205}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{206}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & +  1.00 x_{2} & -8.00 x_{84}\\
 x_{207}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{208}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{209}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{210}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{211}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.50 x_{3} & +  1.00 x_{2} & -14.50 x_{84}\\
 x_{212}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -5.50 x_{3} & +  1.00 x_{2} & -7.50 x_{84}\\
 x_{213}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{214}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{215}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & +  1.00 x_{2} & -8.00 x_{84}\\
 x_{216}   &  3.0 & + 14.00 x_{159} & +  0.67 x_{46} & -10.00 x_{3} & +  1.00 x_{2} & -14.00 x_{84}\\
 x_{217}   &  1.0 & +  8.00 x_{159} & +  0.33 x_{46} & -6.00 x_{3} & +  1.00 x_{2} & -8.00 x_{84}\\
\hline
z    &  5.0 & -0.00 x_{159} & -0.00 x_{46} & -3.50 x_{3} & -0.00 x_{2} & -0.50 x_{84}\\
\end{array}\]
 Final answer: 5.000000 
Done.Added 207 cuts 
\end{document}
